165109180 has 48 divisors (see below), whose sum is σ = 374310720. Its totient is φ = 60988928.

The previous prime is 165109177. The next prime is 165109181. The reversal of 165109180 is 81901561.

It is a super-2 number, since 2×165109180² = 54522082640544800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165109181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7152 + ... + 19528.

It is an arithmetic number, because the mean of its divisors is an integer number (7798140).

Almost surely, 2^165109180 is an apocalyptic number.

165109180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165109180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187155360).

165109180 is an abundant number, since it is smaller than the sum of its proper divisors (209201540).

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

165109180 is a wasteful number, since it uses less digits than its factorization.

165109180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12438 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 165109180 is about 12849.4817016096. The cubic root of 165109180 is about 548.6016045658.

The spelling of 165109180 in words is "one hundred sixty-five million, one hundred nine thousand, one hundred eighty".