165188864 has 36 divisors (see below), whose sum is σ = 349137684. Its totient is φ = 77733888.

The previous prime is 165188857. The next prime is 165188899. The reversal of 165188864 is 468881561.

It can be written as a sum of positive squares in 2 ways, for example, as 52998400 + 112190464 = 7280^2 + 10592^2 .

It is a super-2 number, since 2×165188864² = 54574721579220992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14627 + ... + 23330.

It is an arithmetic number, because the mean of its divisors is an integer number (9698269).

Almost surely, 2^165188864 is an apocalyptic number.

It is an amenable number.

165188864 is an abundant number, since it is smaller than the sum of its proper divisors (183948820).

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

165188864 is an equidigital number, since it uses as much as digits as its factorization.

165188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37990 (or 37976 counting only the distinct ones).

The product of its digits is 368640, while the sum is 47.

The square root of 165188864 is about 12852.5819974043. The cubic root of 165188864 is about 548.6898446416.

The spelling of 165188864 in words is "one hundred sixty-five million, one hundred eighty-eight thousand, eight hundred sixty-four".