MOD = 10**9+7 from collections import Counter from itertools import accumulate N, M = map(int, input().split()) def prime_factorize(n): # O(√n) a = [] while n % 2 == 0: a.append(2) n //= 2 f = 3 while f * f <= n: if n % f == 0: a.append(f) n //= f else: f += 2 if n != 1: a.append(n) return a cnt = Counter(prime_factorize(M)) ans = 1 for k, v in cnt.items(): dp = [[0] * (v + 1) for _ in range(N + 1)] dp[0][0] = 1 # 累積和+もらう for i in range(1, N + 1): p = dp[i - 1] r = [p[0]] for j in range(v): r.append((r[-1] + p[j + 1])% MOD) for j in range(v + 1): dp[i][j] = r[v - j] sub = sum(dp[-1]) % MOD #print(dp) ans *= sub ans %= MOD print(ans)