165125520 has 320 divisors, whose sum is σ = 663767040. Its totient is φ = 36951552.

The previous prime is 165125509. The next prime is 165125537. The reversal of 165125520 is 25521561.

165125520 is a `hidden beast` number, since 1 + 651 + 2 + 5 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1012959 + ... + 1013121.

It is an arithmetic number, because the mean of its divisors is an integer number (2074272).

Almost surely, 2^165125520 is an apocalyptic number.

165125520 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 165125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331883520).

165125520 is an abundant number, since it is smaller than the sum of its proper divisors (498641520).

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

165125520 is a wasteful number, since it uses less digits than its factorization.

165125520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 165125520 is about 12850.1175091903. The cubic root of 165125520 is about 548.6197013882.

The spelling of 165125520 in words is "one hundred sixty-five million, one hundred twenty-five thousand, five hundred twenty".