Buggy python submission (verdict: Runtime Error):
import sys

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

factor = {}
tmp = 2
while(M // tmp >= 1):
    if(M % tmp != 0):
        if(tmp == 2):
            tmp += 1
        elif(M // tmp < tmp):
            tmp = M
        else:
            tmp += 2
        continue

    M = M // tmp
    factor[tmp] = factor.get(tmp, 0) + 1

if(factor == {}):
    pimport sys

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

factor = {}
tmp = 2
while(M // tmp >= 1):
    if(M % tmp != 0):
        if(tmp == 2):
            tmp += 1rint(1)
    sys.exit()

ans = 1
max_a = 7 + 10 ** 9
max_value = max(list(factor.values()))
aho = {0: 1}
fact = {0: 1}
abc = {}
for i in range(1, max_value + 1):
    # print(i)
    aho[i] = ((aho[i - 1] * (i + N - 1)))
    fact[i] = (fact[i - 1] * i)
    abc[i] = (aho[i] // fact[i]) % max_a


# print(factor)
# print(aho, fact)
for i in factor.values():
    # print(i)
    ans = (ans * abc[i]) % max_a
print(ans)

Fixed submission:
import sys

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

factor = {}
tmp = 2
while(M // tmp >= 1):
    if(M % tmp != 0):
        if(tmp == 2):
            tmp += 1
        elif(M // tmp < tmp):
            tmp = M
        else:
            tmp += 2
        continue

    M = M // tmp
    factor[tmp] = factor.get(tmp, 0) + 1

if(factor == {}):
    print(1)
    sys.exit()

ans = 1
max_a = 7 + 10 ** 9
max_value = max(list(factor.values()))
aho = {0: 1}
fact = {0: 1}
abc = {}
for i in range(1, max_value + 1):
    # print(i)
    aho[i] = ((aho[i - 1] * (i + N - 1)))
    fact[i] = (fact[i - 1] * i)
    abc[i] = (aho[i] // fact[i]) % max_a


# print(factor)
# print(aho, fact)
for i in factor.values():
    # print(i)
    ans = (ans * abc[i]) % max_a
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys

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

factor = {}
tmp = 2
while(M // tmp >= 1):
    if(M % tmp != 0):
        if(tmp == 2):
            tmp += 1
        else:
            tmp += 2
        continue

    M = M // tmp
    factor[tmp] = factor.get(tmp, 0) + 1

if(factor == {}):
    print(1)
    sys.exit()

ans = 1
max_a = 7 + 10 ** 9
max_value = max(list(factor.values()))
aho = {0: 1}
fact = {0: 1}
abc = {}
for i in range(1, max_value + 1):
    # print(i)
    aho[i] = ((aho[i - 1] * (i + N - 1)))
    fact[i] = (fact[i - 1] * i)
    abc[i] = (aho[i] // fact[i]) % max_a


# print(factor)
# print(aho, fact)
for i in factor.values():
    # print(i)
    ans = (ans * abc[i]) % max_a
print(ans)

Fixed submission:
import sys

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

factor = {}
tmp = 2
while(M // tmp >= 1):
    if(M % tmp != 0):
        if(tmp == 2):
            tmp += 1
        elif(M // tmp < tmp):
            tmp = M
        else:
            tmp += 2
        continue

    M = M // tmp
    factor[tmp] = factor.get(tmp, 0) + 1

if(factor == {}):
    print(1)
    sys.exit()

ans = 1
max_a = 7 + 10 ** 9
max_value = max(list(factor.values()))
aho = {0: 1}
fact = {0: 1}
abc = {}
for i in range(1, max_value + 1):
    # print(i)
    aho[i] = ((aho[i - 1] * (i + N - 1)))
    fact[i] = (fact[i - 1] * i)
    abc[i] = (aho[i] // fact[i]) % max_a


# print(factor)
# print(aho, fact)
for i in factor.values():
    # print(i)
    ans = (ans * abc[i]) % max_a
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
from math import factorial as fac

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

factor = {}
tmp = 2
while(M // tmp >= 1):
    if(M % tmp != 0):
        if(tmp == 2):
            tmp += 1
        else:
            tmp += 2
        continue

    M = M // tmp
    factor[tmp] = factor.get(tmp, 0) + 1

if(factor == {}):
    print(1)
    sys.exit()

ans = 1
max_a = 7 + 10 ** 9
tt = fac(N - 1)
# print(factor)
for i in factor.values():
    # print(i)
    a = 1
    for j in range(N, N + i):
        a = a * j
    tmp = a // fac(i)
    ans = (ans * tmp) % max_a
print(ans)

Fixed submission:
import sys

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

factor = {}
tmp = 2
while(M // tmp >= 1):
    if(M % tmp != 0):
        if(tmp == 2):
            tmp += 1
        elif(M // tmp < tmp):
            tmp = M
        else:
            tmp += 2
        continue

    M = M // tmp
    factor[tmp] = factor.get(tmp, 0) + 1

if(factor == {}):
    print(1)
    sys.exit()

ans = 1
max_a = 7 + 10 ** 9
max_value = max(list(factor.values()))
aho = {0: 1}
fact = {0: 1}
abc = {}
for i in range(1, max_value + 1):
    # print(i)
    aho[i] = ((aho[i - 1] * (i + N - 1)))
    fact[i] = (fact[i - 1] * i)
    abc[i] = (aho[i] // fact[i]) % max_a


# print(factor)
# print(aho, fact)
for i in factor.values():
    # print(i)
    ans = (ans * abc[i]) % max_a
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
from math import factorial as fac

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

factor = {}
tmp = 2
while(M // tmp >= 1):
    if(M % tmp != 0):
        if(tmp == 2):
            tmp += 1
        else:
            tmp += 2
        continue

    M = M // tmp
    factor[tmp] = factor.get(tmp, 0) + 1

if(factor == {}):
    print(1)
    sys.exit()

ans = 1
max_a = 7 + 10 ** 9
tt = fac(N - 1)
# print(factor)
for i in factor.values():
    # print(i)
    tmp = fac(N + i - 1) // (fac(i) * tt)
    ans = (ans * tmp) % max_a
print(ans)

Fixed submission:
import sys

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

factor = {}
tmp = 2
while(M // tmp >= 1):
    if(M % tmp != 0):
        if(tmp == 2):
            tmp += 1
        elif(M // tmp < tmp):
            tmp = M
        else:
            tmp += 2
        continue

    M = M // tmp
    factor[tmp] = factor.get(tmp, 0) + 1

if(factor == {}):
    print(1)
    sys.exit()

ans = 1
max_a = 7 + 10 ** 9
max_value = max(list(factor.values()))
aho = {0: 1}
fact = {0: 1}
abc = {}
for i in range(1, max_value + 1):
    # print(i)
    aho[i] = ((aho[i - 1] * (i + N - 1)))
    fact[i] = (fact[i - 1] * i)
    abc[i] = (aho[i] // fact[i]) % max_a


# print(factor)
# print(aho, fact)
for i in factor.values():
    # print(i)
    ans = (ans * abc[i]) % max_a
print(ans)