165540168 has 24 divisors (see below), whose sum is σ = 448338150. Its totient is φ = 55180032.

The previous prime is 165540163. The next prime is 165540181. The reversal of 165540168 is 861045561.

It can be written as a sum of positive squares in only one way, i.e., 93663684 + 71876484 = 9678^2 + 8478^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165540161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1149513 + ... + 1149656.

Almost surely, 2^165540168 is an apocalyptic number.

165540168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

165540168 is an abundant number, since it is smaller than the sum of its proper divisors (282797982).

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

165540168 is a wasteful number, since it uses less digits than its factorization.

165540168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299181 (or 2299174 counting only the distinct ones).

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

The square root of 165540168 is about 12866.2414092073. The cubic root of 165540168 is about 549.0785319691.

The spelling of 165540168 in words is "one hundred sixty-five million, five hundred forty thousand, one hundred sixty-eight".