165405168 has 30 divisors (see below), whose sum is σ = 462905144. Its totient is φ = 55135008.

The previous prime is 165405157. The next prime is 165405179. The reversal of 165405168 is 861504561.

165405168 is a `hidden beast` number, since 1 + 6 + 540 + 51 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (165405157) and next prime (165405179).

It is a super-2 number, since 2×165405168² = 54717739202216448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

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, 574180 + ... + 574467.

Almost surely, 2^165405168 is an apocalyptic number.

165405168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

165405168 is an abundant number, since it is smaller than the sum of its proper divisors (297499976).

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

165405168 is a wasteful number, since it uses less digits than its factorization.

165405168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148661 (or 1148652 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165405168 is about 12860.9940517831. The cubic root of 165405168 is about 548.9292313251.

The spelling of 165405168 in words is "one hundred sixty-five million, four hundred five thousand, one hundred sixty-eight".