87090131436 has 384 divisors, whose sum is σ = 275816669184. Its totient is φ = 20698951680.

The previous prime is 87090131377. The next prime is 87090131437. The reversal of 87090131436 is 63413109078.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (87090131437) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87351690 + ... + 87352686.

It is an arithmetic number, because the mean of its divisors is an integer number (718272576).

Almost surely, 2^87090131436 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 87090131436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137908334592).

87090131436 is an abundant number, since it is smaller than the sum of its proper divisors (188726537748).

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

87090131436 is a wasteful number, since it uses less digits than its factorization.

87090131436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 87090131436 in words is "eighty-seven billion, ninety million, one hundred thirty-one thousand, four hundred thirty-six".