#pragma GCC optimize ("O3")
#include "bits/stdc++.h"

using namespace std;
using ll = long long int;

#define debugos cout
#define debug(v) {printf("L%d %s > ",__LINE__,#v);debugos<<(v)<<endl;}
#define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:(v)){debugos<<e<<" ";}debugos<<endl;}
#define debuga(m,w) {printf("L%d %s > ",__LINE__,#m);for(int x=0;x<(w);x++){debugos<<(m)[x]<<" ";}debugos<<endl;}
#define debugaa(m,h,w) {printf("L%d %s >\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){debugos<<(m)[y][x]<<" ";}debugos<<endl;}}
#define ALL(v) (v).begin(),(v).end()
#define repeat(cnt,l) for(remove_reference<remove_const<decltype(l)>::type>::type cnt=0;(cnt)<(l);++(cnt))
#define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt))
#define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt))
#define diterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);--(cnt))
const ll MD = 1000000007ll; const long double PI = 3.1415926535897932384626433832795L;
inline void assert_call(bool assertion, function<void()> f) { if (!assertion) { cerr << "assertion fault:" << endl; f(); abort(); } }
template<typename T1, typename T2> inline ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << '(' << p.first << ':' << p.second << ')'; return o; }
template<typename Vec> inline ostream& _ostream_vecprint(ostream& os, const Vec& a) {
    os << '['; for (const auto& e : a) os << ' ' << e << ' '; os << ']'; return os;
}
template<typename T> inline ostream& operator<<(ostream& o, const vector<T>& v) { return _ostream_vecprint(o, v); }
template<typename T, size_t S> inline ostream& operator<<(ostream& o, const array<T, S>& v) { return _ostream_vecprint(o, v); }
template<typename T> inline T& maxset(T& to, const T& val) { return to = max(to, val); }
template<typename T> inline T& minset(T& to, const T& val) { return to = min(to, val); }
void bye(string s, int code = 0) { cout << s << endl; exit(code); }
mt19937_64 randdev(8901016);
template<typename T> inline T rand(T l, T h) { return uniform_int_distribution<T>(l, h)(randdev); }
template<> inline double rand<double>(double l, double h) { return uniform_real_distribution<double>(l, h)(randdev); }
template<> inline float rand<float>(float l, float h) { return uniform_real_distribution<float>(l, h)(randdev); }

#if defined(_WIN32) || defined(_WIN64)
#define getchar_unlocked _getchar_nolock
#define putchar_unlocked _putchar_nolock
#elif defined(__GNUC__)
#else
#define getchar_unlocked getchar
#define putchar_unlocked putchar
#endif
namespace {
#define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E)
    class MaiScanner {
    public:
        template<typename T> void input_integer(T& var) noexcept {
            var = 0; T sign = 1;
            int cc = getchar_unlocked();
            for (; cc < '0' || '9' < cc; cc = getchar_unlocked())
                if (cc == '-') sign = -1;
            for (; '0' <= cc && cc <= '9'; cc = getchar_unlocked())
                var = (var << 3) + (var << 1) + cc - '0';
            var = var * sign;
        }
        inline int c() noexcept { return getchar_unlocked(); }
        inline MaiScanner& operator>>(int& var) noexcept { input_integer<int>(var); return *this; }
        inline MaiScanner& operator>>(long long& var) noexcept { input_integer<long long>(var); return *this; }
        inline MaiScanner& operator>>(string& var) {
            int cc = getchar_unlocked();
            for (; !isvisiblechar(cc); cc = getchar_unlocked());
            for (; isvisiblechar(cc); cc = getchar_unlocked())
                var.push_back(cc);
            return *this;
        }
        template<typename IT> void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; }
    };
    class MaiPrinter {
    public:
        template<typename T>
        void output_integer(T var) noexcept {
            if (var == 0) { putchar_unlocked('0'); return; }
            if (var < 0)
                putchar_unlocked('-'),
                var = -var;
            char stack[32]; int stack_p = 0;
            while (var)
                stack[stack_p++] = '0' + (var % 10),
                var /= 10;
            while (stack_p)
                putchar_unlocked(stack[--stack_p]);
        }
        inline MaiPrinter& operator<<(char c) noexcept { putchar_unlocked(c); return *this; }
        inline MaiPrinter& operator<<(int var) noexcept { output_integer<int>(var); return *this; }
        inline MaiPrinter& operator<<(long long var) noexcept { output_integer<long long>(var); return *this; }
        inline MaiPrinter& operator<<(char* str_p) noexcept { while (*str_p) putchar_unlocked(*(str_p++)); return *this; }
        inline MaiPrinter& operator<<(const string& str) {
            const char* p = str.c_str();
            const char* l = p + str.size();
            while (p < l) putchar_unlocked(*p++);
            return *this;
        }
        template<typename IT> void join(IT begin, IT end, char sep = ' ') { for (bool b = 0; begin != end; ++begin, b = 1) b ? *this << sep << *begin : *this << *begin; }
    };
}
MaiScanner scanner;
MaiPrinter printer;

// MEMO : 逆元...pow_md(n,MOD-2,MOD)
template<typename T> T pow_md(T x, T p, T mod = MD) {
    T y = 1; x = x % mod;
    for (; 0 < p; p >>= 1) {
        if (p & 1) y = y * x % mod;
        x = x * x % mod;
    }
    return y;
}


template<int Max = 2000>
class PrimeListC {
    int d_[Max];
public:
    constexpr PrimeListC() : d_() {
        int n = 1;
        d_[0] = 2;
        for (int x = 3; n < Max; ++x) {
            bool f = true;
            for (int i = 0; d_[i] * d_[i] <= x; ++i)
                if (x % d_[i] == 0) { f = false; break; }
            if (f) d_[n++] = x;
        }
    }
    constexpr inline int operator[](int x) const { return d_[x]; }
    template<int _Max>
    class iterator {
        const PrimeListC<_Max>& pl;
        int ptr = 0;
    public:
        constexpr iterator(const decltype(pl)& _pl, int _ptr = 0) :pl(_pl),ptr(_ptr) { }
        constexpr int operator*() const { return pl[ptr]; }
        constexpr iterator<_Max>& operator++() { ptr++; return *this; } // prefix
        constexpr inline bool operator!=(const iterator<_Max>& it) const { return ptr != it.ptr ? !(_Max < ptr && _Max < it.ptr) : false; }
        constexpr inline bool operator==(const iterator<_Max>& it) const { return ptr != it.ptr ? (_Max < ptr && _Max < it.ptr) : true; }
    };
    constexpr PrimeListC::iterator<Max> begin() const { return PrimeListC::iterator<Max>(*this, 0); }
    constexpr PrimeListC::iterator<Max> end() const { return PrimeListC::iterator<Max>(*this, Max); }
};


PrimeListC<31625> primeList;

template<typename ARRAY>
void prime_division(ARRAY& result, ll num) {
    for (int p : primeList) {
        while (num % p == 0) {
            num /= p;
            ++result[p];
        }
    }
    if (num != 1) ++result[num];
}


int N, M;
ll fact[100100];

int main() {

    scanner >> N >> M;

    map<int, int> pr; prime_division(pr, M);
    
    // 階乗の前計算
    fact[0] = 1;
    repeat(i, 100050ll) fact[i+1] = fact[i]*(i+1) % MD;
    
    // nCk の分母部分の前計算
    ll den = 1, denrev;
    for (ll r = (N - 1); 0 < r; --r)
        den = den * r % MD;
    denrev = pow_md<ll>(den, MD - 2, MD);
    
    ll ans = 1;
    for (auto p : pr) {
        // nCkの分子部分
        ll num = fact[N - 1 + p.second] * pow_md<ll>(fact[p.second], MD - 2, MD) %MD;
        ans *= (num*denrev) % MD;
        ans %= MD;
    }

    cout << ans << endl;


    return 0;
}

Measured memory_bytes: 1024