165253120 has 52 divisors (see below), whose sum is σ = 396608220. Its totient is φ = 66093056.

The previous prime is 165253117. The next prime is 165253147. The reversal of 165253120 is 21352561.

It can be written as a sum of positive squares in 2 ways, for example, as 18939904 + 146313216 = 4352^2 + 12096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16446 + ... + 24514.

Almost surely, 2^165253120 is an apocalyptic number.

165253120 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 165253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198304110).

165253120 is an abundant number, since it is smaller than the sum of its proper divisors (231355100).

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

165253120 is an frugal number, since it uses more digits than its factorization.

165253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 165253120 is about 12855.0814855449. The cubic root of 165253120 is about 548.7609794694.

The spelling of 165253120 in words is "one hundred sixty-five million, two hundred fifty-three thousand, one hundred twenty".