Language: C++

#include "bits/stdc++.h"
using namespace std;
typedef long long ll;

std::vector<int> eratosthenes(int M) {
	std::vector<int> res(M, 0);
	res[0] = -1;
	res[1] = -1;
	for (int i = 2; i * i < M; ++i) {
		if (res[i] == 0) {
			for (int j = i * i; j < M; j += i) {
				if (res[j] == 0) res[j] = i;
			}
		}
	}
	return res;
}

template <int M, bool IsPrime = false> class Modulo {
	int n;
	static typename std::enable_if<IsPrime, ll>::type inv(ll a, ll p) {
		return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
	}

public:
	Modulo() : n(0) { ; }
	Modulo(int m) : n(m) {
		if (n >= M)
			n %= M;
		else if (n < 0)
			n = (n % M + M) % M;
	}
	Modulo(ll m) {
		if (m >= M)
			m %= M;
		else if (m < 0)
			m = (m % M + M) % M;
		n = m;
	}
	explicit operator int() const { return n; }
	explicit operator ll() const { return n; }
	bool operator==(const Modulo &a) const { return n == a.n; }
	Modulo &operator+=(const Modulo &a) {
		n += a.n;
		if (n >= M) n -= M;
		return *this;
	}
	Modulo &operator-=(const Modulo &a) {
		n -= a.n;
		if (n < 0) n += M;
		return *this;
	}
	Modulo &operator*=(const Modulo &a) {
		n = (ll(n) * a.n) % M;
		return *this;
	}
	Modulo operator+(const Modulo &a) const {
		Modulo res = *this;
		return res += a;
	}
	Modulo operator-(const Modulo &a) const {
		Modulo res = *this;
		return res -= a;
	}
	Modulo operator-() const { return Modulo(0) - *this; }
	Modulo operator*(const Modulo &a) const {
		Modulo res = *this;
		return res *= a;
	}
	Modulo operator^(int m) const {
		if (m == 0) return Modulo(1);
		const Modulo a = *this;
		Modulo res = (a * a) ^ (m / 2);
		return m % 2 ? res * a : res;
	}
	typename std::enable_if<IsPrime, Modulo>::type
		operator/(const Modulo &a) const {
		return *this * inv(ll(a), M);
	}
	typename std::enable_if<IsPrime, Modulo>::type operator/=(const Modulo &a) {
		return *this *= inv(ll(a), M);
	}
};

template <int M, bool IsPrime = false> bool is_zero(Modulo<M, IsPrime> x) {
	return int(x) == 0;
}
template <int M, bool IsPrime = false> int abs(Modulo<M, IsPrime> x) {
	return int(x);
}

const int mod = 1000000007;

template <int M = mod> Modulo<M, true> fact(int n, bool sw = true) {
	static std::vector<Modulo<M, true>> v1 = { 1 }, v2 = { 1 };
	if (n >= (int)v1.size()) {
		const int from = v1.size(), to = n + 1024;
		v1.reserve(to);
		v2.reserve(to);
		for (int i = from; i < to; ++i) {
			v1.push_back(v1.back() * Modulo<M, true>(i));
			v2.push_back(v2.back() / Modulo<M, true>(i));
		}
	}
	return sw ? v1[n] : v2[n];
}

template <int M = mod> Modulo<M, true> comb(int a, int b) {
	if (b < 0 || b > a) return 0;
	return fact<M>(a, true) * fact<M>(b, false) * fact<M>(a - b, false);
}

using Mod = Modulo<mod, true>;

/*
ll comb(ll a, ll b)
{
	ll ret = 1;
	for (ll i = 0; i < b; i++)
	{
		ret = ret * (a - i) / (i + 1);
		ret %= mod;		
	}
	return ret;
}
*/

int main()
{
	ll n, m;
	cin >> n >> m;
	vector<int> prime = eratosthenes(m);
	vector<ll> ls;
	int mtmp = m;
	for (int i = 0; i < m; i++)
	{
		if (prime[i] == 0)
		{
			int cnt = 0;
			while (mtmp%i==0)
			{
				mtmp /= i;
				cnt++;
			}
			if (cnt > 0)
			{
				ls.push_back(cnt);
			}
		}
	}
	Mod ans = 1;
	for (int i = 0; i < ls.size(); i++)
	{
		ans *= comb(ls[i] + n - 1, n - 1);
	}
	cout << ans.operator int << endl;
	return 0;
}

Compiler output:
a.cc: In function 'int main()':
a.cc:156:14: error: invalid use of non-static member function 'Modulo<M, IsPrime>::operator int() const [with int M = 1000000007; bool IsPrime = true]'
  156 |         cout << ans.operator int << endl;
      |         ~~~~~^~~~~~~~~~~~~~~~~~~
a.cc:40:18: note: declared here
   40 |         explicit operator int() const { return n; }
      |                  ^~~~~~~~