36133152 has 48 divisors (see below), whose sum is σ = 103475232. Its totient is φ = 10949120.

The previous prime is 36133133. The next prime is 36133169. The reversal of 36133152 is 25133163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 16053 + ... + 18164.

It is an arithmetic number, because the mean of its divisors is an integer number (2155734).

Almost surely, 2^36133152 is an apocalyptic number.

36133152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36133152 is an abundant number, since it is smaller than the sum of its proper divisors (67342080).

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

36133152 is a wasteful number, since it uses less digits than its factorization.

36133152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34241 (or 34233 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 36133152 is about 6011.0857588293. The cubic root of 36133152 is about 330.5993149620.

The spelling of 36133152 in words is "thirty-six million, one hundred thirty-three thousand, one hundred fifty-two".