90372635136 has 240 divisors, whose sum is σ = 302287759488. Its totient is φ = 25456435200.

The previous prime is 90372635131. The next prime is 90372635159. The reversal of 90372635136 is 63153627309.

90372635136 is a `hidden beast` number, since 9 + 0 + 3 + 7 + 2 + 635 + 1 + 3 + 6 = 666.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 90372635091 and 90372635100.

It is not an unprimeable number, because it can be changed into a prime (90372635131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2270446 + ... + 2309906.

Almost surely, 2^90372635136 is an apocalyptic number.

90372635136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90372635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151143879744).

90372635136 is an abundant number, since it is smaller than the sum of its proper divisors (211915124352).

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

90372635136 is a wasteful number, since it uses less digits than its factorization.

90372635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39563 (or 39544 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 90372635136 in words is "ninety billion, three hundred seventy-two million, six hundred thirty-five thousand, one hundred thirty-six".