90133164 has 36 divisors (see below), whose sum is σ = 248550120. Its totient is φ = 27312960.

The previous prime is 90133163. The next prime is 90133181. The reversal of 90133164 is 46133109.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (90133163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113409 + ... + 114200.

It is an arithmetic number, because the mean of its divisors is an integer number (6904170).

Almost surely, 2^90133164 is an apocalyptic number.

It is an amenable number.

90133164 is an abundant number, since it is smaller than the sum of its proper divisors (158416956).

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

90133164 is a wasteful number, since it uses less digits than its factorization.

90133164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227630 (or 227625 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90133164 is about 9493.8487453719. The cubic root of 90133164 is about 448.3613886188.

The spelling of 90133164 in words is "ninety million, one hundred thirty-three thousand, one hundred sixty-four".