Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
# 
import math
import sys
import itertools
import numpy as np

n,m = map(int, input().split())

def soin(a):
    fa = []
    i = 2
    d = a
    last = 1
    while d>1:
        if d % i == 0:
            if last == i:
                fa[-1][1]=fa[-1][1]+1
            else:
                fa.append([i,1])
            d=d//i
            last = i
        else:
            i += 1
    return(fa)

#print(soin(n))
q = soin(m)
answer = 1

for i in q:
#    print(i,i[1])
    r = i[1]
    a = 1
    for j in range(n,n+r):
        a = a * j
    for j in range(r):
        a = a // (j+1)
    answer = answer * a % (10**9+7)

print(answer)


Fixed submission:
# -*- coding: utf-8 -*-
# 
import math
import sys
import itertools
import numpy as np

n,m = map(int, input().split())

def soin(a):
    fa = []
    i = 2
    d = a
    last = 1
    while d>1:
        if d % i == 0:
            if last == i:
                fa[-1][1]=fa[-1][1]+1
            else:
                fa.append([i,1])
            d=d//i
            last = i
        else:
            i += 1
        if i * i > a:
            fa.append([a,1])
            break

    return(fa)

#print(soin(n))
q = soin(m)
answer = 1

for i in q:
#    print(i,i[1])
    r = i[1]
    a = 1
    for j in range(n,n+r):
        a = a * j
    for j in range(r):
        a = a // (j+1)
    answer = answer * a % (10**9+7)

print(answer)

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
# 
import math
import sys
import itertools
import numpy as np

n,m = map(int, input().split())

def soin(a):
    fa = []
    i = 2
    d = a
    last = 1
    while d>1:
        if d % i == 0:
            if last == i:
                fa[-1][1]=fa[-1][1]+1
            else:
                fa.append([i,1])
            d=d//i
            last = i
        else:
            i += 1
    return(fa)

#print(soin(n))
q = soin(m)
answer = 1

for i in q:
#    print(i,i[1])
    r = i[1]
    answer = answer * (math.factorial(n+r-1)//math.factorial(n-1)//math.factorial(r)) % (10**9+7)

answer = answer % (10**9+7)

print(answer)


Fixed submission:
# -*- coding: utf-8 -*-
# 
import math
import sys
import itertools
import numpy as np

n,m = map(int, input().split())

def soin(a):
    fa = []
    i = 2
    d = a
    last = 1
    while d>1:
        if d % i == 0:
            if last == i:
                fa[-1][1]=fa[-1][1]+1
            else:
                fa.append([i,1])
            d=d//i
            last = i
        else:
            i += 1
        if i * i > a:
            fa.append([a,1])
            break

    return(fa)

#print(soin(n))
q = soin(m)
answer = 1

for i in q:
#    print(i,i[1])
    r = i[1]
    a = 1
    for j in range(n,n+r):
        a = a * j
    for j in range(r):
        a = a // (j+1)
    answer = answer * a % (10**9+7)

print(answer)

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-
# 
import math
import sys
import itertools
import numpy as np

n,m = map(int, input().split())

def soin(a):
    fa = []
    i = 2
    d = a
    last = 1
    while d>1:
        if d % i == 0:
            if last == i:
                fa[-1][1]=fa[-1][1]+1
            else:
                fa.append([i,1])
            d=d//i
            last = i
        else:
            i += 1
    return(fa)

#print(soin(n))
q = soin(m)
answer = 1

for i in q:
#    print(i,i[1])
    r = i[1]
    answer = answer * (math.factorial(n+r-1)//math.factorial(n-1)//math.factorial(r))

answer = answer % (10**9+7)

print(answer)


Fixed submission:
# -*- coding: utf-8 -*-
# 
import math
import sys
import itertools
import numpy as np

n,m = map(int, input().split())

def soin(a):
    fa = []
    i = 2
    d = a
    last = 1
    while d>1:
        if d % i == 0:
            if last == i:
                fa[-1][1]=fa[-1][1]+1
            else:
                fa.append([i,1])
            d=d//i
            last = i
        else:
            i += 1
        if i * i > a:
            fa.append([a,1])
            break

    return(fa)

#print(soin(n))
q = soin(m)
answer = 1

for i in q:
#    print(i,i[1])
    r = i[1]
    a = 1
    for j in range(n,n+r):
        a = a * j
    for j in range(r):
        a = a // (j+1)
    answer = answer * a % (10**9+7)

print(answer)