Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
N,M = map(int,input().split())
d = defaultdict(int)
for i in range(2, floor(sqrt(M))+1):
    while M % i == 0:
        d[i] += 1
        M //= i
if M != 1:
    d[M] += 1
def comb(n,k):
    if k == 0:
        return 1
    return comb(n-1,k-1) * n // k
ans = 1
for e in d.values():
    ans *= comb(N+e-1, e)
print(ans % (10**9+7))

Fixed submission:
from math import sqrt, floor
from collections import defaultdict
def comb(n,m):
    if m == 0:
        return 1
    return comb(n-1,m-1)*n // m
def facts(n):
    dic = defaultdict(int)
    for i in range(2,floor(sqrt(n))+1):
        while n % i == 0:
            n //= i
            dic[i] += 1
        if n == 1:
            break
    if n != 1:
        dic[n] += 1
    return dic
N, M = map(int,input().split())
mod = 10**9+7
ans = 1
dic = facts(M)
for p in dic:
    ans = (ans*(comb(dic[p]+N-1, dic[p]) % mod)) % mod
print(ans)

Buggy python submission (verdict: Runtime Error):
from math import floor, sqrt
from collections import defaultdict
def factors(n):
    d = defaultdict(int)
    for i in range(2,floor(sqrt(n))+1):
        while n % i == 0:
            n //= i
            d[i] += 1
        if n == 1:
            break
    if n != 1:
        d[n] += 1
    return d
def inv(x, mod):
    k = mod - 2
    ret = 1
    while k > 0:
        if k&1:
            ret = (ret*x) % mod
        x = (x*x) % mod
        k >>= 1
    return ret
N, M = map(int,input().split())
mod = 10**9+7
dic = factors(M)
K = len(dic)
SIZE = N+max(dic.values())
fact = [None]*(SIZE+1)
finv = [None]*(SIZE+1)
fact[0] = 1
for i in range(1,SIZE+1):
    fact[i] = (fact[i-1]*i) % mod
finv[SIZE] = inv(fact[SIZE], mod=mod)
for i in range(SIZE, 0, -1):
    finv[i-1] = (finv[i]*i) % mod
def comb(n,k):
    tmp = (finv[k]*finv[n-k]) % mod
    return (fact[n]*tmp) % mod
ans = 1
for p in dic:
    ans = (ans*comb(dic[p]+N-1, dic[p])) % mod
print(ans)

Fixed submission:
from math import sqrt, floor
from collections import defaultdict
def comb(n,m):
    if m == 0:
        return 1
    return comb(n-1,m-1)*n // m
def facts(n):
    dic = defaultdict(int)
    for i in range(2,floor(sqrt(n))+1):
        while n % i == 0:
            n //= i
            dic[i] += 1
        if n == 1:
            break
    if n != 1:
        dic[n] += 1
    return dic
N, M = map(int,input().split())
mod = 10**9+7
ans = 1
dic = facts(M)
for p in dic:
    ans = (ans*(comb(dic[p]+N-1, dic[p]) % mod)) % mod
print(ans)

Buggy python submission (verdict: Runtime Error):
from math import floor, sqrt
from collections import defaultdict
def factors(n):
    d = defaultdict(int)
    for i in range(2,floor(sqrt(n))+1):
        while n % i == 0:
            n //= i
            d[i] += 1
        if n == 1:
            break
    if n != 1:
        d[n] += 1
    return d
def inv(x, mod):
    k = mod - 2
    ret = 1
    while k > 0:
        if k&1:
            ret = (ret*x) % mod
        x = (x*x) % mod
        k //= 2
    return ret
N, M = map(int,input().split())
mod = 10**9+7
dic = factors(M)
K = len(dic)
SIZE = N+max(dic.values())
fact = [None]*(SIZE+1)
finv = [None]*(SIZE+1)
fact[0] = 1
for i in range(1,SIZE+1):
    fact[i] = (fact[i-1]*i) % mod
finv[SIZE] = inv(fact[SIZE], mod=mod)
for i in range(SIZE, 0, -1):
    finv[i-1] = (finv[i]*i) % mod
def comb(n,k):
    tmp = (finv[k]*finv[n-k]) % mod
    return (fact[n]*tmp) % mod
ans = 1
for p in dic:
    ans = (ans*comb(dic[p]+N-1, dic[p])) % mod
print(ans)

Fixed submission:
from math import sqrt, floor
from collections import defaultdict
def comb(n,m):
    if m == 0:
        return 1
    return comb(n-1,m-1)*n // m
def facts(n):
    dic = defaultdict(int)
    for i in range(2,floor(sqrt(n))+1):
        while n % i == 0:
            n //= i
            dic[i] += 1
        if n == 1:
            break
    if n != 1:
        dic[n] += 1
    return dic
N, M = map(int,input().split())
mod = 10**9+7
ans = 1
dic = facts(M)
for p in dic:
    ans = (ans*(comb(dic[p]+N-1, dic[p]) % mod)) % mod
print(ans)