Buggy python submission (verdict: Runtime Error):
def framod(n,mod):
    a=1
    for i in range(1,n+1):
        a=a * i % mod
    return a

def power(n,r,mod):
    if r == 0: return 1
    if r%2 == 0:
        return power(n*n % mod, r//2, mod) % mod
    if r%2 == 1:
        return n * power(n, r-1, mod) % mod
    
def comb(n,k,mod):
    if n<0 or k<0 or n<k: return 0
    if n==0 or k==0: return 1
    a=framod(n,mod)
    b=framod(k,mod)
    c=framod(n-k,mod)
    return (a * power(b, mod-2, mod) * power(c, mod-2, mod)) % mod

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

pf={}
for i in range(2,int(m**0.5)+1):
    while m%i==0:
        pf[i]=pf.get(i,0)+1
        m//=i
if m>1:pf[m]=1
    
mblist=list()
for i in pf:
    a = comb(pf[i]+n-1,pf[i],mod)
    mblist.append(a)
ans=1
for i in mblist:
    ans=(ans*i)%mod
print(ans)

Fixed submission:
from collections import Counter
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

mod = 10**9+7 #出力の制限
N = 10**5+1000
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

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

n,m=map(int, input().split())
mb=[]
while m>1:
    for i in range(2,int(m**0.5)+1):
        if m%i==0:
            mb.append(i)
            m//=i
            break
    else:
        mb.append(m)
        m//=m
mb2=Counter(mb)
    
mblist=list()
for i in mb2:
    a = cmb(mb2[i]+n-1,mb2[i],mod)
    mblist.append(a)
ans=1
for i in mblist:
    ans=(ans*i)%mod
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
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

mod = 10**9+7 #出力の制限
N = 10**5+1000
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

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

n,m=map(int, input().split())
mb=[]
while m>1:
    for i in range(2,m+1):
        if m%i==0:
            mb.append(i)
            m//=i
            break

mb2=Counter(mb)
    
mblist=list()
for i in mb2:
    a = cmb(mb2[i]+n-1,mb2[i],mod)
    mblist.append(a)
ans=1
for i in mblist:
    ans=(ans*i)%mod
print(ans)

Fixed submission:
from collections import Counter
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

mod = 10**9+7 #出力の制限
N = 10**5+1000
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

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

n,m=map(int, input().split())
mb=[]
while m>1:
    for i in range(2,int(m**0.5)+1):
        if m%i==0:
            mb.append(i)
            m//=i
            break
    else:
        mb.append(m)
        m//=m
mb2=Counter(mb)
    
mblist=list()
for i in mb2:
    a = cmb(mb2[i]+n-1,mb2[i],mod)
    mblist.append(a)
ans=1
for i in mblist:
    ans=(ans*i)%mod
print(ans)