165252160 has 56 divisors (see below), whose sum is σ = 397480536. Its totient is φ = 65433600.

The previous prime is 165252133. The next prime is 165252161. The reversal of 165252160 is 61252561.

It can be written as a sum of positive squares in 4 ways, for example, as 11888704 + 153363456 = 3448^2 + 12384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165252161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29764 + ... + 34876.

Almost surely, 2^165252160 is an apocalyptic number.

165252160 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 165252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198740268).

165252160 is an abundant number, since it is smaller than the sum of its proper divisors (232228376).

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

165252160 is a wasteful number, since it uses less digits than its factorization.

165252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 165252160 is about 12855.0441461708. The cubic root of 165252160 is about 548.7599168338.

The spelling of 165252160 in words is "one hundred sixty-five million, two hundred fifty-two thousand, one hundred sixty".