Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict

N, M = map(int, input().split())


def prime_decomposition(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n //= i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return table

pr = prime_decomposition(M)
di = defaultdict(int)
for p in pr:
    di[p] += 1
def egcd(a, b):
    if a == 0:
        return b, 0, 1
    else:
        g, y, x = egcd(b % a, a)
        return g, x - (b // a) * y, y


# mを法とするaの乗法的逆元
def modinv(a, m):
    g, x, y = egcd(a, m)
    if g != 1:
        raise Exception('modular inverse does not exist')
    else:
        return x % m

def combination(n, mod):
    lst = [1]
    for i in range(1, n+1):
        lst.append(lst[-1] * (n+1-i) % mod * modinv(i, mod) % mod)
    return lst
mod = 10**9+7
ans = 1
for k, v in di.items():
    ans *= combination(v+N-1, mod)[N-1]
    ans %= mod
print(ans)


Fixed submission:
from collections import defaultdict

N, M = map(int, input().split())


def prime_decomposition(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n //= i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return table

pr = prime_decomposition(M)
di = defaultdict(int)
for p in pr:
    di[p] += 1
def egcd(a, b):
    if a == 0:
        return b, 0, 1
    else:
        g, y, x = egcd(b % a, a)
        return g, x - (b // a) * y, y


# mを法とするaの乗法的逆元
def modinv(a, m):
    g, x, y = egcd(a, m)
    if g != 1:
        raise Exception('modular inverse does not exist')
    else:
        return x % m

def combination(n, mod):
    lst = [1]
    for i in range(1, n+1):
        lst.append(lst[-1] * (n+1-i) % mod * modinv(i, mod) % mod)
    return lst
mod = 10**9+7
ans = 1
for k, v in di.items():
    ans *= combination(v+N-1, mod)[N-1]
    ans %= mod
print(ans)

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict

N, M = map(int, input().split())


def prime_decomposition(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n //= i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return table

pr = prime_decomposition(M)
di = defaultdict(int)
for p in pr:
    di[p] += 1

def combination(n, mod):
    lst = [1]
    for i in range(1, n+1):
        lst.append(lst[-1] * (n+1-i) % mod * modinv(i, mod) % mod)
    return lst
mod = 10**9+7
ans = 1
for k, v in di.items():
    ans *= combination(v+N-1, mod)[N-1]
    ans %= mod
print(ans)


Fixed submission:
from collections import defaultdict

N, M = map(int, input().split())


def prime_decomposition(n):
    i = 2
    table = []
    while i * i <= n:
        while n % i == 0:
            n //= i
            table.append(i)
        i += 1
    if n > 1:
        table.append(n)
    return table

pr = prime_decomposition(M)
di = defaultdict(int)
for p in pr:
    di[p] += 1
def egcd(a, b):
    if a == 0:
        return b, 0, 1
    else:
        g, y, x = egcd(b % a, a)
        return g, x - (b // a) * y, y


# mを法とするaの乗法的逆元
def modinv(a, m):
    g, x, y = egcd(a, m)
    if g != 1:
        raise Exception('modular inverse does not exist')
    else:
        return x % m

def combination(n, mod):
    lst = [1]
    for i in range(1, n+1):
        lst.append(lst[-1] * (n+1-i) % mod * modinv(i, mod) % mod)
    return lst
mod = 10**9+7
ans = 1
for k, v in di.items():
    ans *= combination(v+N-1, mod)[N-1]
    ans %= mod
print(ans)