165395520 has 196 divisors, whose sum is σ = 591334860. Its totient is φ = 44043264.

The previous prime is 165395473. The next prime is 165395521. The reversal of 165395520 is 25593561.

165395520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39237696 + 126157824 = 6264^2 + 11232^2 .

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 (165395521) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 232926 + ... + 233634.

Almost surely, 2^165395520 is an apocalyptic number.

165395520 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 165395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295667430).

165395520 is an abundant number, since it is smaller than the sum of its proper divisors (425939340).

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

165395520 is an frugal number, since it uses more digits than its factorization.

165395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 165395520 is about 12860.6189586660. The cubic root of 165395520 is about 548.9185581959.

The spelling of 165395520 in words is "one hundred sixty-five million, three hundred ninety-five thousand, five hundred twenty".