#include <bits/stdc++.h>
#include <sys/time.h>
using namespace std;

#define rep(i,n) for(long long i = 0; i < (long long)(n); i++)
#define repi(i,a,b) for(long long i = (long long)(a); i < (long long)(b); i++)
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define fi first
#define se second
#define mt make_tuple
#define mp make_pair
template<class T1, class T2> bool chmin(T1 &a, T2 b) { return b < a && (a = b, true); }
template<class T1, class T2> bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }

using ll = long long; using vll = vector<ll>; using vvll = vector<vll>; using P = pair<ll, ll>;
ll ugauss(ll a, ll b) { if (!a) return 0; if (a>0^b>0) return a/b; else return (a+(a>0?-1:1))/b+1; }
ll lgauss(ll a, ll b) { if (!a) return 0; if (a>0^b>0) return (a+(a>0?-1:1))/b-1; else return a/b; }
template <typename T, typename U> ostream &operator<<(ostream &o, const pair<T, U> &v) {  o << "(" << v.first << ", " << v.second << ")"; return o; }
template<size_t...> struct seq{}; template<size_t N, size_t... Is> struct gen_seq : gen_seq<N-1, N-1, Is...>{}; template<size_t... Is> struct gen_seq<0, Is...> : seq<Is...>{};
template<class Ch, class Tr, class Tuple, size_t... Is>
void print_tuple(basic_ostream<Ch,Tr>& os, Tuple const& t, seq<Is...>){ using s = int[]; (void)s{0, (void(os << (Is == 0? "" : ", ") << get<Is>(t)), 0)...}; }
template<class Ch, class Tr, class... Args> 
auto operator<<(basic_ostream<Ch, Tr>& os, tuple<Args...> const& t) -> basic_ostream<Ch, Tr>& { os << "("; print_tuple(os, t, gen_seq<sizeof...(Args)>()); return os << ")"; }
ostream &operator<<(ostream &o, const vvll &v) { rep(i, v.size()) { rep(j, v[i].size()) o << v[i][j] << " "; o << endl; } return o; }
template <typename T> ostream &operator<<(ostream &o, const vector<T> &v) { o << '['; rep(i, v.size()) o << v[i] << (i != v.size()-1 ? ", " : ""); o << "]";  return o; }
template <typename T> ostream &operator<<(ostream &o, const deque<T> &v) { o << '['; rep(i, v.size()) o << v[i] << (i != v.size()-1 ? ", " : ""); o << "]";  return o; }
template <typename T>  ostream &operator<<(ostream &o, const set<T> &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it << (next(it) != m.end() ? ", " : ""); o << "]";  return o; }
template <typename T>  ostream &operator<<(ostream &o, const unordered_set<T> &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it << (next(it) != m.end() ? ", " : ""); o << "]";  return o; }
template <typename T, typename U>  ostream &operator<<(ostream &o, const map<T, U> &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it << (next(it) != m.end() ? ", " : ""); o << "]";  return o; }
template <typename T, typename U, typename V>  ostream &operator<<(ostream &o, const unordered_map<T, U, V> &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it; o << "]";  return o; }
vector<int> range(const int x, const int y) { vector<int> v(y - x + 1); iota(v.begin(), v.end(), x); return v; }
template <typename T> istream& operator>>(istream& i, vector<T>& o) { rep(j, o.size()) i >> o[j]; return i;}
template <typename T, typename S, typename U> ostream &operator<<(ostream &o, const priority_queue<T, S, U> &v) { auto tmp = v; while (tmp.size()) { auto x = tmp.top(); tmp.pop(); o << x << " ";} return o; }
template <typename T> ostream &operator<<(ostream &o, const queue<T> &v) { auto tmp = v; while (tmp.size()) { auto x = tmp.front(); tmp.pop(); o << x << " ";} return o; }
template <typename T> ostream &operator<<(ostream &o, const stack<T> &v) { auto tmp = v; while (tmp.size()) { auto x = tmp.top(); tmp.pop(); o << x << " ";} return o; }
template <typename T> unordered_map<T, ll> counter(vector<T> vec){unordered_map<T, ll> ret; for (auto&& x : vec) ret[x]++; return ret;};
void vizGraph(vvll& g, int mode = 0, string filename = "out.png") { ofstream ofs("./out.dot"); ofs << "digraph graph_name {" << endl; set<P> memo; rep(i, g.size())  rep(j, g[i].size()) { if (mode && (memo.count(P(i, g[i][j])) || memo.count(P(g[i][j], i)))) continue; memo.insert(P(i, g[i][j])); ofs << "    " << i << " -> " << g[i][j] << (mode ? " [arrowhead = none]" : "")<< endl;  } ofs << "}" << endl; ofs.close(); system(((string)"dot -T png out.dot >" + filename).c_str()); }
struct timeval start; double sec() { struct timeval tv; gettimeofday(&tv, NULL); return (tv.tv_sec - start.tv_sec) + (tv.tv_usec - start.tv_usec) * 1e-6; }
size_t random_seed; struct init_{init_(){ ios::sync_with_stdio(false); cin.tie(0); gettimeofday(&start, NULL); struct timeval myTime; struct tm *time_st; gettimeofday(&myTime, NULL); time_st = localtime(&myTime.tv_sec); srand(myTime.tv_usec); random_seed = RAND_MAX / 2 + rand() / 2; }} init__;
#define ldout fixed << setprecision(40) 

#define EPS (double)1e-14
#define INF (ll)1e18
#define mo  (ll)(1e9+7)

// 素数の個数はO(n / log n)

/**********************************************************/
// 素数テーブルの作成
/**********************************************************/
// 素数テーブル構築: O(n log n)
#define MAX_NUM 20000000
ll prime_size = -1;
bool is_prime[MAX_NUM];
vector<ll> primes;      // 素数リスト
void sieve_of_atkin(ll N) {
    ll sqrtN = sqrt(N);
    int n;
    for (int z = 1; z <= 5; z += 4) {
        for (int y = z; y <= sqrtN; y += 6) {
            for (int x = 1; x <= sqrtN && (n = 4*x*x+y*y) <= N; ++x)
                is_prime[n] = !is_prime[n];
            for (int x = y+1; x <= sqrtN && (n = 3*x*x-y*y) <= N; x += 2)
                is_prime[n] = !is_prime[n];
        }
    }
    for (int z = 2; z <= 4; z += 2) {
        for (int y = z; y <= sqrtN; y += 6) {
            for (int x = 1; x <= sqrtN && (n = 3*x*x+y*y) <= N; x += 2)
                is_prime[n] = !is_prime[n];
            for (int x = y+1; x <= sqrtN && (n = 3*x*x-y*y) <= N; x += 2)
                is_prime[n] = !is_prime[n];
        }
    }
    for (int y = 3; y <= sqrtN; y += 6) {
        for (int z = 1; z <= 2; ++z) {
            for (int x = z; x <= sqrtN && (n = 4*x*x+y*y) <= N; x += 3)
                is_prime[n] = !is_prime[n];
        }
    }
    for (int n = 5; n <= sqrtN; ++n)
        if (is_prime[n])
            for (int k = n*n; k <= N; k+=n*n)
                is_prime[k] = false;
    is_prime[2] = is_prime[3] = true;
}

void sieve_of_eratosthenes(ll n) {
    for (ll i = 2; i < n; ++i)
        is_prime[i] = true;
    for (ll i = 2; i*i < n; ++i)
        if (is_prime[i])
            for (ll j = i*i; j < n; j+=i)
                is_prime[j] = false;
    for (ll i = 0; i < n; i++) 
        if (is_prime[i]) 
            primes.push_back(i);
}

// n以下の素数リストを作成する
//
// 素数はn個でも、n^2までの素因数分解ができる！
// よほどのことがなければn=1e6+10とかを確保すれば十分。
//
// 1e7は割とMLEするので注意
void constructPrime(ll n) {
    if (n > 5e6) {
        cerr << "WATCH OUT!!!! YOU ARE USING TOO LARGE MEMORY!" << endl;
    }
    assert(n < MAX_NUM);
    prime_size = n;
#if 1
    sieve_of_atkin(n);
#else
    sieve_of_eratosthenes(n);
#endif
    primes.reserve(1.2*n*log(n)); // 素数定理よりn>100でOK
    rep(i, n) if (is_prime[i]) {
        primes.pb(i);
    }
}

/**********************************************************/
// 以下はよく行う処理のテンプレート
// そのままは大抵使えないので、改造するつもりで。
/**********************************************************/
// 素因数分解
//
// 小さい素数から見ていって、割れたら割って素因数リストに追加する
// 残ったnが素数リストよりも大きければ、そのnは素数だと見なして返す。
unordered_map<ll, ll> factorize(ll n) {
    if (n <= 1) return unordered_map<ll, ll>();
    unordered_map<ll, ll> divisors_list;

    ll prime;
    for (ll i = 0; (prime = primes[i]) && n >= prime * prime; )  
        if (n % prime) 
            i++;
        else 
            divisors_list[prime]++, n /= prime;
    if (n != 1) 
        divisors_list[n]++;
    return divisors_list;
}

// [0, n]の範囲を全て素因数分解する。「飛び飛びの」高速化。結構速い。
// n < 1,000,000で150ms
// n < 10,000,000で1000ms 
//
// 配列rem[i]は、初めiが入っている。
// 素数pを下から見るが、rem[i]を全て見る必要はなく、rem[p*i]だけでいい。
vector<unordered_map<ll, ll>> factorizeRange(ll n) {
    vector<unordered_map<ll, ll>> fact(n+1);

    vector<ll> rem(n+1); rep(i, n+1) rem[i] = i;
    for (auto x : primes) for (ll i = x; i <= n; i += x) 
        while (rem[i] % x == 0) 
            rem[i] /= x, fact[i][x]++;
    return fact;
}


// lcm(a)
// a[i] < 1e7
unordered_map<ll, ll> lcmSmall(set<ll>& a) {
    if (!a.size()) return unordered_map<ll, ll>();

    ll n = *(prev(a.end()));
    vector<ll> rem(n+1); 
    rep(i, n+1) rem[i] = i;
    unordered_map<ll, ll> ret;
    for (auto x : primes) {
        ll max_c = 0;
        for (ll i = x; i <= n; i += x) if (a.count(i)) {
            ll c = 0;
            while (rem[i] % x == 0) 
                rem[i] /= x, c++;
            chmax(max_c, c);
        }
        if (max_c) 
            ret[x] = max_c;
    }
    return ret;
}

// lcm(a)
// a[i]>1e7
unordered_map<ll, ll> lcmLarge(set<ll>& a) {
    if (!a.size()) return unordered_map<ll, ll>();

    unordered_map<ll, ll> ret;
    for (auto n : a) {
        auto d = factorize(n);
        for (auto x : d) 
            chmax(ret[x.fi], x.se);
    }
    return ret;
}


// 約数を全列挙する。
//
// 約数を試し割りするより、n=1000000で4倍くらい早い。
vector<ll> divisors(ll n) {
    vector<ll> divisors_list;

    auto counter = factorize(n);
    divisors_list.push_back(1);
    for (auto x : counter) {
        ll tmp_size = divisors_list.size();
        ll p = 1;
        for (ll i = 0; i < x.second; i++) {
            p *= x.first;
            for (ll j = 0; j < tmp_size; j++) 
                divisors_list.push_back(divisors_list[j] * p);
        }
    }
    return divisors_list;
}

ll getDivisorsNum(ll n) {
    unordered_map<ll, ll> divisors_list = factorize(n);
    ll p = 1;
    for (auto x : divisors_list) 
        p *= x.second + 1;
    return p;
}
template<int MOD>
struct ModInt {
	static const int Mod = MOD;
	unsigned x;
	ModInt() : x(0) {}
	ModInt(signed sig) { int sigt = sig % MOD; if(sigt < 0) sigt += MOD; x = sigt; }
	ModInt(signed long long sig) { int sigt = sig % MOD; if(sigt < 0) sigt += MOD; x = sigt; }
	int get() const { return (int)x; }

	ModInt &operator+=(ModInt that) { if((x += that.x) >= MOD) x -= MOD; return *this; }
	ModInt &operator-=(ModInt that) { if((x += MOD - that.x) >= MOD) x -= MOD; return *this; }
	ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; }
	ModInt &operator/=(ModInt that) { return *this *= that.inverse(); }

	ModInt operator+(ModInt that) const { return ModInt(*this) += that; }
	ModInt operator-(ModInt that) const { return ModInt(*this) -= that; }
	ModInt operator*(ModInt that) const { return ModInt(*this) *= that; }
	ModInt operator/(ModInt that) const { return ModInt(*this) /= that; }

	ModInt inverse() const {
		signed a = x, b = MOD, u = 1, v = 0;
		while(b) {
			signed t = a / b;
			a -= t * b; std::swap(a, b);
			u -= t * v; std::swap(u, v);
		}
		if(u < 0) u += Mod;
		ModInt res; res.x = (unsigned)u;
		return res;
	}

	bool operator==(ModInt that) const { return x == that.x; }
	bool operator!=(ModInt that) const { return x != that.x; }
	ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; }
};
template<int MOD> ModInt<MOD> operator^(ModInt<MOD> a, unsigned long long k) {
	ModInt<MOD> r = 1;
	while(k) {
		if(k & 1) r *= a;
		a *= a;
		k >>= 1;
	}
	return r;
}
typedef ModInt<1000000007> mint;
typedef vector<mint> vmint;
ostream &operator<<(ostream &o, const mint v) {  o << v.x; return o; }

// n!と1/n!のテーブルを作る。
// nCrを高速に計算するためのもの。
//
// O(n + log mo)
vector<mint> fact, rfact;
void constructFactorial(const long long n) {
    fact.resize(n);
    rfact.resize(n);
    fact[0] = rfact[0] = 1;
    for (int i = 0; i < n - 1; i++) {
        fact[i+1] = fact[i] * (i+1);
    }
    rfact[n-1] = mint(1) / fact[n-1]; 
    for (int i = n - 1; i >= 1; i--) 
        rfact[i-1] = rfact[i] * i; // ((n-1)!)^-1 = (n!)^-1 * n
}

// O(1)
// constructFactorialしておけば、n, r=1e7くらいまではいけます
mint nCr(const long long n, const long long r) {
    if (n < 0 || r < 0) return 0;
    if (n < r) return 0;
    return fact[n] * rfact[r] * rfact[n-r];
}

// O(r.size())
// sum(r)! / r[0]! / r[1]! / ...
mint nCr(const vector<long long> r) {
    ll sum = accumulate(r.begin(), r.end(), 0ll);
    mint ret = fact[sum];
    rep(i, r.size()) 
        ret *= rfact[r[i]];
    return ret;
}

// O(k log mo) 
mint nCrWithoutConstruction(const long long n, const long long k) {
    if (n < 0) return 0;
    if (k < 0) return 0;
    mint ret = 1;
    for (int i = 0; i < k; i++) {
        ret *= (mint)n - (mint)i;
        ret /= mint(i+1);
    }
    return ret;
}




int main(void) {
    constructPrime(1e6);
    constructFactorial(1e6);
    ll n, m; cin >> n >> m;

    auto f = factorize(m);

    mint ret = 1;
    for (auto x : f) {
        ret *= nCr(n+x.se-1, x.se);
    }
    cout << ret << endl;

    return 0;
}


Measured memory_bytes: 11644