36505152 has 42 divisors (see below), whose sum is σ = 104637078. Its totient is φ = 12168192.

The previous prime is 36505141. The next prime is 36505193. The reversal of 36505152 is 25150563.

36505152 is a `hidden beast` number, since 3 + 6 + 505 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21013056 + 15492096 = 4584^2 + 3936^2 .

It is a super-2 number, since 2×36505152² = 2665252245086208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31113 + ... + 32264.

It is an arithmetic number, because the mean of its divisors is an integer number (2491359).

Almost surely, 2^36505152 is an apocalyptic number.

36505152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36505152 is an abundant number, since it is smaller than the sum of its proper divisors (68131926).

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

36505152 is a wasteful number, since it uses less digits than its factorization.

36505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63395 (or 63382 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 36505152 is about 6041.9493543061. The cubic root of 36505152 is about 331.7299783460.

The spelling of 36505152 in words is "thirty-six million, five hundred five thousand, one hundred fifty-two".