Buggy python submission (verdict: Runtime Error):
import time
import collections
import scipy.special

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

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

factors = collections.Counter(prime_decomposition(M))
t_elps = time.time()
#print(f"{t_elps - t_strt} [sec]")
num_pattern = 1;

for exponent in factors.values():
    tmp_num_pattern = scipy.special.comb(exponent + N -1, N-1, exact = True) 
    num_pattern = num_pattern * int(tmp_num_pattern)
    
#print(num_pattern%(10**9+7))

t_elps = time.time()
print(f"{t_elps - t_strt} [sec]")

Fixed submission:
import time
import collections
import scipy.misc

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

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

factors = collections.Counter(prime_decomposition(M))
t_elps = time.time()
#print(f"{t_elps - t_strt} [sec]")
num_pattern = 1;

for exponent in factors.values():
    tmp_num_pattern = scipy.misc.comb(exponent + N -1, N-1, exact = True) 
    num_pattern = num_pattern * int(tmp_num_pattern)
    
print(num_pattern%(10**9+7))

Buggy python submission (verdict: Time Limit Exceeded):
import time
import math
import collections

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



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

factors = collections.Counter(prime_decomposition(M))
num_pattern = 1;
for exponent in factors.values():
    tmp_num_pattern = math.factorial(exponent + N -1) \
                        // (math.factorial(exponent)*math.factorial(N-1))  
    num_pattern = num_pattern * int(tmp_num_pattern)
    
print(num_pattern%(10**9+7))

Fixed submission:
import time
import collections
import scipy.misc

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

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

factors = collections.Counter(prime_decomposition(M))
t_elps = time.time()
#print(f"{t_elps - t_strt} [sec]")
num_pattern = 1;

for exponent in factors.values():
    tmp_num_pattern = scipy.misc.comb(exponent + N -1, N-1, exact = True) 
    num_pattern = num_pattern * int(tmp_num_pattern)
    
print(num_pattern%(10**9+7))

Buggy python submission (verdict: Runtime Error):
import sympy
import math

N, M = map(int, input().split())
factors = sympy.factorint(M)
print(factors)
num_pattern = 1;
for exponent in factors.values():
    if exponent < N:
        tmp_num_pattern = int(math.factorial(exponent + N -1) \
                            / (math.factorial(N-1)*math.factorial(exponent)))
    else:
        tmp_num_pattern = int(math.factorial(exponent + N -1) \
                            / (math.factorial(exponent)*math.factorial(N-1)))
        
    num_pattern = num_pattern * int(tmp_num_pattern)
print(int(num_pattern%(10**9 +7)))

Fixed submission:
import time
import collections
import scipy.misc

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

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

factors = collections.Counter(prime_decomposition(M))
t_elps = time.time()
#print(f"{t_elps - t_strt} [sec]")
num_pattern = 1;

for exponent in factors.values():
    tmp_num_pattern = scipy.misc.comb(exponent + N -1, N-1, exact = True) 
    num_pattern = num_pattern * int(tmp_num_pattern)
    
print(num_pattern%(10**9+7))