165052160 has 216 divisors, whose sum is σ = 493748640. Its totient is φ = 51757056.

The previous prime is 165052159. The next prime is 165052171. The reversal of 165052160 is 61250561.

165052160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514186 + ... + 1514294.

Almost surely, 2^165052160 is an apocalyptic number.

165052160 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 165052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246874320).

165052160 is an abundant number, since it is smaller than the sum of its proper divisors (328696480).

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

165052160 is a wasteful number, since it uses less digits than its factorization.

165052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 165052160 is about 12847.2627434796. The cubic root of 165052160 is about 548.5384446107.

The spelling of 165052160 in words is "one hundred sixty-five million, fifty-two thousand, one hundred sixty".