MOD = 10**9+7 from collections import Counter 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 for i in range(N): for j in range(v + 1): # dp[i][j] から配る memo = dp[i][j] for k in range(v + 1): # となりに k を置く if j + k > v: break dp[i + 1][k] += memo dp[i + 1][k] %= MOD sub = sum(dp[-1]) % MOD ans *= sub ans %= MOD print(ans)