#include <bits/stdc++.h>
#define REP(i, n) for(int i=0; i<(int)(n); i++)
#define REP1(i,a,b) for(int i=a; i<=(int)(b); i++)
#define ALL(x) begin(x),end(x)
#define PB push_back
using namespace std;
typedef int64_t LL;
typedef vector<int> VI;
typedef pair<int,int> PII;

template<class T> inline bool chmax( T &a, const T &b ) { return b>a ? a=b,true : false; }
template<class T> inline bool chmin( T &a, const T &b ) { return b<a ? a=b,true : false; }
template<class T> using MaxHeap = priority_queue<T>;
template<class T> using MinHeap = priority_queue<T, vector<T>, greater<T>>;
template<class T, class F=less<T>> void sort_uniq( vector<T> &v, F f=F() ) {
    sort(begin(v),end(v),f);
    v.resize(unique(begin(v),end(v))-begin(v));
}

// {{{ ModInt
template<int _MOD>
struct ModInt {
    static const auto MOD = _MOD;
    template<class T> using integral_only = typename enable_if<is_integral<T>::value>::type;

    int x;   
    constexpr ModInt() : x() {}

    template<class T, integral_only<T>* = nullptr>
    ModInt(T _x=0) {
        x = _x % MOD;
        if(x<0) x+=MOD;
    }
    ModInt operator-() const { return {x == 0? 0 : MOD-x}; }
    ModInt& operator+=(const ModInt a) {
        if ((x += a.x) >= MOD) x -= MOD;
        return *this;
    }
    ModInt& operator-=(const ModInt a) {
        if ((x += MOD-a.x) >= MOD) x -= MOD;
        return *this;
    }
    ModInt& operator*=(const ModInt a) {
        x = (long long)x * a.x % MOD;
        return *this;
    }
    ModInt& operator/=(const ModInt a) {
        return (*this) *= a.inv();
    }

    ModInt operator+(const ModInt a) const { return ModInt(*this) += a; }
    ModInt operator-(const ModInt a) const { return ModInt(*this) -= a; }
    ModInt operator*(const ModInt a) const { return ModInt(*this) *= a; }
    ModInt operator/(const ModInt a) const { return ModInt(*this) /= a; }
    ModInt inv() const {
        // for prime MOD
        return pow(MOD-2);
    }
    ModInt inv2() const {
        // work for non-prime MOD if gcd(x,MOD) = 1
        int a = x, b = MOD, u = 1, v = 0;
        while(b != 0) {
            int t = a / b;
            a -= t * b;
            u -= t * v;
            swap(a, b);
            swap(u, v);
        }
        return u;
    }
    template<class T, integral_only<T>* = nullptr>
    ModInt pow(T t) const {
        ModInt r = 1, p = *this;
        while(t) {
            if(t & 1) r *= p;
            p *= p;
            t >>= 1;
        }
        return r;
    }

    bool operator==(ModInt rhs) const { return x == rhs.x; }
    bool operator!=(ModInt rhs) const { return x != rhs.x; }
    bool operator<(ModInt rhs) const { return x < rhs.x; }
    bool operator<=(ModInt rhs) const { return x <= rhs.x; }
    bool operator>(ModInt rhs) const { return x > rhs.x; }
    bool operator>=(ModInt rhs) const { return x >= rhs.x; }

    friend string to_string(ModInt i) { return to_string(i.x); }
    friend istream& operator>>(istream&i,ModInt&a) { return i>>a.x; }
    friend ostream& operator<<(ostream&o,const ModInt&a) { return o<<a.x; }
};

const int MOD=1000000007;
using mint=ModInt<MOD>;
// }}}

mint C(int n, int r) {
    if ( n<0 || r<0 || r>n ) return 0;
    mint p=1, q=1;
    r=min(r, n-r);
    for ( int i=1; i<=r; i++ ) {
        p*=(n-i+1);
        q*=i;
    }
    return p/q;
}

mint H(int n, int r) {
    return C(n+r-1, r);
}


struct Comb {
    vector<mint> fact, ifact;
    Comb(int n):fact(n+1),ifact(n+1) {
    assert(n < MOD);
    fact[0] = 1;
    for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i;
    ifact[n] = fact[n].inv();
    for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i;
    }
    mint operator()(int n, int k) {
    if (k < 0 || k > n) return 0;
    return fact[n]*ifact[k]*ifact[n-k];
    }
};

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n,m;
    cin >> n >> m;
    // Comb C(n+n);
    // auto H=[&](int n, int r) {
    //     return C(n+r-1, n-1);
    // };

    map<int,int> sieve;
    int t=m;
    for (int i=2; i*i<=t; i++) {
        if ( t%i==0 ) {
            while ( t%i==0 ) {
                t/=i;
                sieve[i]++;
            }
        }
    }
    if ( t>1 ) sieve[t]++;

    mint ans=1;
    for (auto p:sieve) {
        int x=p.second;
        ans*=H(n,x);
    }
    cout << ans << '\n';
    return 0;
}

Measured memory_bytes: 256