165144 has 32 divisors (see below), whose sum is σ = 472320. Its totient is φ = 47136.

The previous prime is 165133. The next prime is 165161. The reversal of 165144 is 441561.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 165144.

It is a congruent number.

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, 324 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (14760).

2¹⁶⁵¹⁴⁴ is an apocalyptic number.

165144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

165144 is an abundant number, since it is smaller than the sum of its proper divisors (307176).

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

165144 is a wasteful number, since it uses less digits than its factorization.

165144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 995 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 165144 is about 406.3791333226. The cubic root of 165144 is about 54.8640166858.

The spelling of 165144 in words is "one hundred sixty-five thousand, one hundred forty-four".