87459632136 has 192 divisors, whose sum is σ = 253933056000. Its totient is φ = 27133263360.

The previous prime is 87459632101. The next prime is 87459632149. The reversal of 87459632136 is 63123695478.

87459632136 is a `hidden beast` number, since 8 + 7 + 4 + 596 + 32 + 13 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17409321 + ... + 17414343.

It is an arithmetic number, because the mean of its divisors is an integer number (1322568000).

Almost surely, 2^87459632136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87459632136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126966528000).

87459632136 is an abundant number, since it is smaller than the sum of its proper divisors (166473423864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87459632136 is a wasteful number, since it uses less digits than its factorization.

87459632136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5357 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 87459632136 in words is "eighty-seven billion, four hundred fifty-nine million, six hundred thirty-two thousand, one hundred thirty-six".