Buggy python submission (verdict: Time Limit Exceeded):
#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#

"""
RC110 D
"""


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

from math import sqrt
from collections import deque
def divisors(x):
    divs = deque()
    sx = int(sqrt(x))
    if x == sx**2:
        divs.append(sx)
        sx = sx-1
    for i in range(sx,0,-1):
        if x%i==0:
            divs.append(i)
            divs.appendleft(x//i)
    return(divs)

mdivs = list(divisors(m))
from collections import defaultdict
divsdict = defaultdict(list)
for d in mdivs:
    divsdict[d] = [dd for dd in mdivs if d%dd==0]

dpdict = defaultdict(int)
for d in mdivs:
    dpdict[d]=0
dpdict[1] = 1


cut = 10**9+7

for i in range(n):
    for d in mdivs:
        dpdict[d] = sum(map(lambda x:dpdict[x],divsdict[d]))%(10**9+7)

print(dpdict[m])



Fixed submission:
#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#

"""
RC110 D
"""


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

from math import sqrt
from collections import deque
def divisors(x):
    divs = deque()
    sx = int(sqrt(x))
    if x == sx**2:
        divs.append(sx)
        sx = sx-1
    for i in range(sx,0,-1):
        if x%i==0:
            divs.append(i)
            divs.appendleft(x//i)
    return(divs)

mdivs = list(divisors(m))
from collections import defaultdict
divsdict = defaultdict(list)
for d in mdivs:
    divsdict[d] = [dd for dd in mdivs if d%dd==0]

nbin = list(map(int,format(n,'b')))
nnbin = len(nbin)
dpdicts = [defaultdict(int) for i in range(nnbin)]
for d in mdivs:
    dpdicts[0][d]=1

cut = 10**9+7

for i in range(1,nnbin):
    for d in mdivs:
        dpdicts[i][d] = sum(map(lambda x:dpdicts[i-1][x]*dpdicts[i-1][d//x],divsdict[d]))%(10**9+7)

dpdictbin = defaultdict(int)
for d in mdivs:
    dpdictbin[d]=0
dpdictbin[1]=1

nbin.reverse()
for i in filter(lambda x:nbin[x]==1,range(nnbin)):
    for d in mdivs:
        dpdictbin[d] = sum(map(lambda x:dpdictbin[x]*dpdicts[i][d//x],divsdict[d]))%(10**9+7)



print(dpdictbin[m])

Buggy python submission (verdict: Time Limit Exceeded):
#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#

"""
RC110 D
"""


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

from math import sqrt
from collections import deque
def divisors(x):
    divs = deque()
    sx = int(sqrt(x))
    if x == sx**2:
        divs.append(sx)
        sx = sx-1
    for i in range(sx,0,-1):
        if x%i==0:
            divs.append(i)
            divs.appendleft(x//i)
    return(divs)

mdivs = list(divisors(m))
from collections import defaultdict
divsdict = defaultdict(list)
for d in mdivs:
    divsdict[d] = [dd for dd in mdivs if d%dd==0]

dpdict = defaultdict(int)
for d in mdivs:
    dpdict[d]=0
dpdict[1] = 1

cut = 10**9+7

for i in range(n):
    dpdicttmp = dpdict
    for d in mdivs:
        dpdict[d] = sum(map(lambda x:dpdict[x],divsdict[d]))%(10**9+7)

print(dpdict[m])



Fixed submission:
#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#

"""
RC110 D
"""


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

from math import sqrt
from collections import deque
def divisors(x):
    divs = deque()
    sx = int(sqrt(x))
    if x == sx**2:
        divs.append(sx)
        sx = sx-1
    for i in range(sx,0,-1):
        if x%i==0:
            divs.append(i)
            divs.appendleft(x//i)
    return(divs)

mdivs = list(divisors(m))
from collections import defaultdict
divsdict = defaultdict(list)
for d in mdivs:
    divsdict[d] = [dd for dd in mdivs if d%dd==0]

nbin = list(map(int,format(n,'b')))
nnbin = len(nbin)
dpdicts = [defaultdict(int) for i in range(nnbin)]
for d in mdivs:
    dpdicts[0][d]=1

cut = 10**9+7

for i in range(1,nnbin):
    for d in mdivs:
        dpdicts[i][d] = sum(map(lambda x:dpdicts[i-1][x]*dpdicts[i-1][d//x],divsdict[d]))%(10**9+7)

dpdictbin = defaultdict(int)
for d in mdivs:
    dpdictbin[d]=0
dpdictbin[1]=1

nbin.reverse()
for i in filter(lambda x:nbin[x]==1,range(nnbin)):
    for d in mdivs:
        dpdictbin[d] = sum(map(lambda x:dpdictbin[x]*dpdicts[i][d//x],divsdict[d]))%(10**9+7)



print(dpdictbin[m])