90137216 has 64 divisors (see below), whose sum is σ = 203632800. Its totient is φ = 39398400.

The previous prime is 90137189. The next prime is 90137221. The reversal of 90137216 is 61273109.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30191 + ... + 33041.

Almost surely, 2^90137216 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 90137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101816400).

90137216 is an abundant number, since it is smaller than the sum of its proper divisors (113495584).

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

90137216 is a wasteful number, since it uses less digits than its factorization.

90137216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 90137216 is about 9494.0621443089. The cubic root of 90137216 is about 448.3681073191.

The spelling of 90137216 in words is "ninety million, one hundred thirty-seven thousand, two hundred sixteen".