#include <iostream>
#include <vector>
#include <deque>
#include <algorithm>
#include <numeric>
#include <string>
#include <cstring>
#include <list>
#include <unordered_set>
#include <tuple>
#include <cmath>
#include <limits>
#include <type_traits>
#include <iomanip>
#include <map>
#include <unordered_map>
#include <queue>
#include <stack>
#include <set>
#include <bitset>
#include <complex>
#include <regex>
#include <random>
using namespace std;

#define rep(i,n)	for(lint i = 0; i < n; i++)
#define repr(i,n)	for(lint i = n - 1; i >= 0; i--)
#define repi(i,ini,n)	for(lint i = ini; i < n; i++)
#define repir(i,ini,n)	for(lint i = n-1; i >= ini; i--)
#define repb(i,start,end)	for(lint i = start; i <= end; i++)
#define repbr(i,start,end)	for(lint i = end; i >= start; i--)

#define bit(n)				(1LL << (n))

#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define rg(v, ini, end) v.begin() + ini, v.begin()+end

#define ret return 0;
#define chmax(a, b) a=max(a,b)
#define chmin(a, b) a=min(a,b)

using lint = long long;
using ulint = unsigned long long;
using ld = long double;
struct xy
{
	lint x, y;
	xy() :x(0), y(0) {}
	xy(lint _x, lint _y) : x(_x), y(_y) {}
	xy operator+(const xy& p) const
	{
		return xy(x + p.x, y + p.y);
	}
	bool operator<(xy p) const
	{
		if (y == p.y)
			return x < p.x;
		return y < p.y;
	}
};
struct xyd
{
	ld x, y;
	xyd() :x(0), y(0) {}
	xyd(long double _x, long double _y) : x(_x), y(_y) {}
};
using vec = vector<lint>;
using vecd = vector<ld>;
using vecs = vector<string>;
using vecp = vector<xy>;
template<class T> using vect = vector<T>;
class vec2 : public vector<vector<lint>>
{
public:
	vec2() {}
	vec2(lint n) : vector(n) {}
	vec2(lint h, lint w) : vector(h, vector<lint>(w)) {}
	vec2(lint h, lint w, lint v) : vector(h, vector<lint>(w, v)) {}
};

template<class T> using priq = priority_queue<T>;
template<class T> using rpriq = priority_queue<T, vector<T>, greater<T>>;
template<class Key, class Val> using hashmap = unordered_map<Key, Val>;
template<class Key> using hashset = unordered_set<Key>;

template<class It>
constexpr typename It::value_type rmax(It begin, It end) {
	return *max_element(begin, end);
}

template<class T1, class T2>
constexpr auto mmax(T1 arg1, T2 arg2) {
	using T = decltype(arg1 + arg2);
	return max(T(arg1), T(arg2));
}

template<class T, class ...Types>
constexpr auto mmax(T arg0, Types ...args) {
	return mmax(arg0, mmax(args...));
}

template<class It>
constexpr typename It::value_type rmin(It begin, It end) {
	return *min_element(begin, end);
}

template<class T1, class T2>
constexpr auto mmin(T1 arg1, T2 arg2) {
	using T = decltype(arg1 + arg2);
	return min(T(arg1), T(arg2));
}

template<class T, class ...Types>
constexpr auto mmin(T arg0, Types ...args) {
	return mmin(arg0, mmin(args...));
}

mt19937 mtrand((random_device())());

const double pi = 3.141592653589793238462;
const lint intmax = 9223372036854775807;
const lint inf = 1100100100100100100LL;

constexpr lint div2(lint p, lint q)
{
	return (p + q - 1) / q;
}

#if(__cplusplus < 201703L)

lint gcd(lint a, lint b) {
	while (1) {
		if (a < b) swap(a, b);
		if (!b) break;
		a %= b;
	}
	return a;
}

lint lcm(lint a, lint b)
{
	return a / gcd(a, b) * b;
}

#endif

template<class T>
struct nval {
	lint n;		// counts
	T val;
	nval() : n(0) {};
	nval(lint _n, T _val) : n(_n), val(_val) {};
};

template<class It, class It2>
auto spacel(It i, It2 end)
{
	if (i + 1 == end)
	{
		return '\n';
	}
	else
	{
		return ' ';
	}
}

ostream& setp(ostream& ost)
{
	cout << setprecision(60) << fixed;
	return ost;
}

const ulint mod = 1000000007;
//const ulint mod = 998244353;
const ld eps = 0.0000001;

auto parr(lint n) {
	vector<nval<lint>> d;
	lint n_ = n;
	for (lint i = 2; i * i <= n; i++) {
		if (n_ % i == 0) {
			d.push_back(nval<lint>(1, i));
			n_ /= i;
			while (n_ % i == 0) {
				n_ /= i;
				d.back().n++;
			}
		}
	}
	if (n_ > 1) {
		d.push_back(nval<lint>(1, n_));
	}
	return d;
}


struct mint
{
	lint n;
	mint()
	{
		n = 0;
	}
	mint(lint a)
	{
		if (a < 0)
			n = mod - ((-a) % mod);
		else
			n = a % mod;
	}
	mint& operator+=(mint a)
	{
		n += a.n;
		n %= mod;
		return *this;
	}
	mint& operator-=(mint a)
	{
		n += mod;
		n -= a.n;
		n %= mod;
		return *this;
	}
	mint& operator*=(mint a)
	{
		n *= a.n;
		n %= mod;
		return *this;
	}
	mint& operator%=(mint a)
	{
		n %= a.n;
		return *this;
	}
	mint& operator++()
	{
		n++;
		n %= mod;
		return *this;
	}
	mint& operator--()
	{
		n += mod;
		n--;
		n %= mod;
		return *this;
	}
};

mint operator+(mint a, mint b)
{
	a += b;
	return a;
}
mint operator-(mint a, mint b)
{
	a -= b;
	return a;
}
mint operator*(mint a, mint b)
{
	a *= b;
	return a;
}

vector<mint> invtbl;
vector<mint> finvtbl;
vector<mint> facttbl;

mint factMod(lint n) {
	if (n == 0)
	{
		return 1;
	}
	mint ans = 1;
	while (n > 1) {
		ans *= n;
		n--;
	}
	return ans;
}
mint powMod(mint x, lint y)
{
	if (x.n <= 1)
	{
		return x;
	}
	if (y == 0)
	{
		return 1;
	}
	else if (y == 1)
	{
		return x;
	}
	else if (y % 2 == 0)
	{
		mint tmp = powMod(x, y / 2);
		return tmp * tmp;
	}
	else
	{
		mint tmp = powMod(x, y / 2);
		return tmp * tmp * x;
	}
}
mint modinv(mint n)
{
	return powMod(n, mod - 2);
}

void preCalcInv(lint up)
{
	invtbl.resize(up + 1);
	invtbl[1] = 1;
	repb(a, 2, up)
	{
		invtbl[a] = invtbl[a] = mod - invtbl[mod % a] * (mod / a);
	}
}

mint operator/(mint a, mint b)
{
	if (b.n < invtbl.size())
	{
		a *= invtbl[b.n];
	}
	else
	{
		a *= modinv(b);
	}
	return a;
}
mint& operator/=(mint& a, mint b)
{
	a = a / b;
	return a;
}


void preCalcFactInv(lint up)
{
	finvtbl.resize(up + 1);
	finvtbl[0] = 1;
	finvtbl[up] = modinv(factMod(up));
	repbr(a, 1, up - 1)
	{
		finvtbl[a] = finvtbl[a + 1] * (a + 1);
	}
}
void preCalcFact(lint up)
{
	facttbl.resize(up + 1);
	facttbl[0] = 1;
	repb(a, 1, up)
	{
		facttbl[a] = facttbl[a - 1] * a;
	}
}
void preCalc(lint up)
{
	invtbl.resize(up + 1);
	finvtbl.resize(up + 1);
	facttbl.resize(up + 1);
	invtbl[1] = 1;
	facttbl[0] = facttbl[1] = 1;
	finvtbl[0] = finvtbl[1] = 1;
	repb(a, 2, up)
	{
		facttbl[a] = facttbl[a - 1] * a;
		invtbl[a] = invtbl[a] = mod - invtbl[mod % a] * (mod / a);
		finvtbl[a] = finvtbl[a - 1] * invtbl[a];
	}
}


mint factModInv(lint a)
{
	if (a < finvtbl.size())
	{
		return finvtbl[a];
	}
	else
	{
		return modinv(factMod(a));
	}
}
mint nCrMod(lint n, lint r)
{
	if (n < r || n < 0 || r < 0)
	{
		return 0;
	}
	r = mmin(r, n - r);
	mint a = 1;
	if (n < finvtbl.size() && n < facttbl.size())
	{
		a *= facttbl[n];
		a *= finvtbl[r];
		a *= finvtbl[n - r];
		return a;
	}
	else
	{
		repb(i, n - r + 1, n)
		{
			a *= i;
		}
		a *= factModInv(r);
		return a;
	}
}
mint nHrMod(lint n, lint r)
{
	return nCrMod(n + r - 1, r);
}


int main()
{
	lint n, m;

	cin >> n >> m;
	preCalc(n + 10);

	auto p = parr(m);

	mint ans = 1;
	rep(i, p.size())
	{
		ans *= nHrMod(n, p[i].n);
	}

	cout << ans.n << endl;

	return 0;
}


Measured memory_bytes: 5196