165180 has 24 divisors (see below), whose sum is σ = 462672. Its totient is φ = 44032.

The previous prime is 165173. The next prime is 165181. The reversal of 165180 is 81561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165181) by changing a digit.

165180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1317 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (19278).

2¹⁶⁵¹⁸⁰ is an apocalyptic number.

165180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165180 is an abundant number, since it is smaller than the sum of its proper divisors (297492).

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

165180 is a wasteful number, since it uses less digits than its factorization.

165180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 165180 is about 406.4234245218. The cubic root of 165180 is about 54.8680030272.

The spelling of 165180 in words is "one hundred sixty-five thousand, one hundred eighty".