Buggy python submission (verdict: Runtime Error):
def factorize(n):
    fct = []  # prime factor
    b, e = 2, 0  # base, exponent
    while b * b <= n:
        while n % b == 0:
            n = n // b
            e = e + 1
        if e > 0:
            fct.append((b, e))
        b, e = b + 1, 0
    if n > 1:
        fct.append((n, 1))
    return fct

  
def cmb(n, r, mod):
    if ( r<0 or r>n ):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod
  
  
N,M = map(int, input().split())
m_factorized = factorize(M)
mod = 10 ** 9 + 7
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル
ans = 1
for i in range( 2, 2**N + 1 ):
  g1.append( ( g1[-1] * i ) % mod )
  inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
  g2.append( (g2[-1] * inverse[-1]) % mod )
    
    
for i in m_factorized:
  k = i[1] 
  ans *= cmb(N-1+k,k,mod)
  ans %= mod
print(ans)
  


Fixed submission:
from functools import reduce
from operator import mul

def factorize(n):
    fct = []  # prime factor
    b, e = 2, 0  # base, exponent
    while b * b <= n:
        while n % b == 0:
            n = n // b
            e = e + 1
        if e > 0:
            fct.append((b, e))
        b, e = b + 1, 0
    if n > 1:
        fct.append((n, 1))
    return fct

  
def cmb(n, r):
    """
    組み合わせの数 nCr
    :param n:
    :param r:
    :return:
    """
    r = min(n - r, r)
    if r == 0:
        return 1
    return reduce(mul, range(n, n - r, -1)) // reduce(mul, range(r, 0, -1))
  
  
N,M = map(int, input().split())
m_factorized = factorize(M)
mod = 10 ** 9 + 7

ans = 1

    
for i in m_factorized:
  k = i[1] 
  ans *= cmb(N-1+k,k)
  ans %= mod
print(ans)

Buggy python submission (verdict: Runtime Error):
def factorize(n):
    fct = []  # prime factor
    b, e = 2, 0  # base, exponent
    while b * b <= n:
        while n % b == 0:
            n = n // b
            e = e + 1
        if e > 0:
            fct.append((b, e))
        b, e = b + 1, 0
    if n > 1:
        fct.append((n, 1))
    return fct

  
def cmb(n, r, mod):
    if ( r<0 or r>n ):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod
  
  
N,M = map(int, input().split())
m_factorized = factorize(M)
mod = 10 ** 9 + 7
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル
ans = 1
for i in range( 2, 2**N + 1 ):
  g1.append( ( g1[-1] * i ) % mod )
  inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
  g2.append( (g2[-1] * inverse[-1]) % mod )
    
    
for i in m_factorized:
  k = i[1] 
  ans *= cmb(N-1+k,k,mod)
  ans %= mod
print(ans)
  

Fixed submission:
from functools import reduce
from operator import mul

def factorize(n):
    fct = []  # prime factor
    b, e = 2, 0  # base, exponent
    while b * b <= n:
        while n % b == 0:
            n = n // b
            e = e + 1
        if e > 0:
            fct.append((b, e))
        b, e = b + 1, 0
    if n > 1:
        fct.append((n, 1))
    return fct

  
def cmb(n, r):
    """
    組み合わせの数 nCr
    :param n:
    :param r:
    :return:
    """
    r = min(n - r, r)
    if r == 0:
        return 1
    return reduce(mul, range(n, n - r, -1)) // reduce(mul, range(r, 0, -1))
  
  
N,M = map(int, input().split())
m_factorized = factorize(M)
mod = 10 ** 9 + 7

ans = 1

    
for i in m_factorized:
  k = i[1] 
  ans *= cmb(N-1+k,k)
  ans %= mod
print(ans)