Buggy python submission (verdict: Time Limit Exceeded):
import math
import collections
n, m = map(int, input().split())

factor = []
tmp = int(m ** (1/2)) + 1
for i in range(2, tmp):
    while m % i == 0:
        m //= i
        factor.append(i)
if m > 1:
    factor.append(m)
num = list(collections.Counter(factor).most_common())

ans = 1
for x in num:
    ans *= (math.factorial(x[1] + n - 1) // (math.factorial(n - 1) * math.factorial(x[1])) % 1000000007)
    ans %= 1000000007
print(ans)

Fixed submission:
import collections
n, m = map(int, input().split())

factor = []
tmp = int(m ** (1/2)) + 1
for i in range(2, tmp):
    while m % i == 0:
        m //= i
        factor.append(i)
if m > 1:
    factor.append(m)
num = list(collections.Counter(factor).most_common())

def comb(n, r):
    tmp = 1
    for i in range(r):
        tmp *= n - i
    for i in range(r):
        tmp //= r - i
    return tmp

ans = 1
for x in num:
    ans *= (comb(x[1] + n - 1, x[1]) % 1000000007)
    ans %= 1000000007
print(ans)

Buggy python submission (verdict: Runtime Error):
import math
import collections
n, m = map(int, input().split())

factor = []
tmp = int(m ** (1/2)) + 1
for i in range(2, tmp):
    while m % i == 0:
        m //= i
        factor.append(i)
if m > 1:
    factor.append(m)
num = list(collections.Counter(factor).most_common())

ans = 1
for i in range(len(num)):
    ans *= (math.factorial(num[i] + n - 1) // (math.factorial(n - 1) * math.factorial(num[i])) % 1000000007)
    ans %= 1000000007
print(ans)

Fixed submission:
import collections
n, m = map(int, input().split())

factor = []
tmp = int(m ** (1/2)) + 1
for i in range(2, tmp):
    while m % i == 0:
        m //= i
        factor.append(i)
if m > 1:
    factor.append(m)
num = list(collections.Counter(factor).most_common())

def comb(n, r):
    tmp = 1
    for i in range(r):
        tmp *= n - i
    for i in range(r):
        tmp //= r - i
    return tmp

ans = 1
for x in num:
    ans *= (comb(x[1] + n - 1, x[1]) % 1000000007)
    ans %= 1000000007
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import math
import collections
n, m = map(int, input().split())

factor = []
tmp = int(m ** (1/2)) + 1
for i in range(2, tmp):
    while m % i == 0:
        m //= i
        factor.append(i)
if m > 1:
    factor.append(m)
c = collections.Counter(factor)
num = list(c.values())

ans = 1
for i in range(len(num)):
    ans *= (math.factorial(num[i] + n - 1) // (math.factorial(n - 1) * math.factorial(num[i])) % 1000000007)
    ans %= 1000000007
print(ans)

Fixed submission:
import collections
n, m = map(int, input().split())

factor = []
tmp = int(m ** (1/2)) + 1
for i in range(2, tmp):
    while m % i == 0:
        m //= i
        factor.append(i)
if m > 1:
    factor.append(m)
num = list(collections.Counter(factor).most_common())

def comb(n, r):
    tmp = 1
    for i in range(r):
        tmp *= n - i
    for i in range(r):
        tmp //= r - i
    return tmp

ans = 1
for x in num:
    ans *= (comb(x[1] + n - 1, x[1]) % 1000000007)
    ans %= 1000000007
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import math
import collections
import numpy as np
n, m = map(int, input().split())

factor = []
tmp = int(np.sqrt(m)) + 1
for i in range(2, tmp):
    while m % i == 0:
        m //= i
        factor.append(i)
if m > 1:
    factor.append(m)
c = collections.Counter(factor)
num = list(c.values())

ans = 1
for i in range(len(num)):
    ans *= math.factorial(num[i] + n - 1) // (math.factorial(n - 1) * math.factorial(num[i]))
    ans %= 1000000007
print(ans)

Fixed submission:
import collections
n, m = map(int, input().split())

factor = []
tmp = int(m ** (1/2)) + 1
for i in range(2, tmp):
    while m % i == 0:
        m //= i
        factor.append(i)
if m > 1:
    factor.append(m)
num = list(collections.Counter(factor).most_common())

def comb(n, r):
    tmp = 1
    for i in range(r):
        tmp *= n - i
    for i in range(r):
        tmp //= r - i
    return tmp

ans = 1
for x in num:
    ans *= (comb(x[1] + n - 1, x[1]) % 1000000007)
    ans %= 1000000007
print(ans)