165120 has 72 divisors (see below), whose sum is σ = 539616. Its totient is φ = 43008.

The previous prime is 165103. The next prime is 165133. The reversal of 165120 is 21561.

It is a super-2 number, since 2×165120² = 54529228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 165120.

It is a congruent number.

It is an unprimeable number.

165120 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, 3819 + ... + 3861.

2¹⁶⁵¹²⁰ is an apocalyptic number.

165120 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 165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269808).

165120 is an abundant number, since it is smaller than the sum of its proper divisors (374496).

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

165120 is an equidigital number, since it uses as much as digits as its factorization.

165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 165120 is about 406.3496031744. The cubic root of 165120 is about 54.8613588030.

Adding to 165120 its reverse (21561), we get a palindrome (186681).

The spelling of 165120 in words is "one hundred sixty-five thousand, one hundred twenty".