165125895168 has 176 divisors, whose sum is σ = 481753360256. Its totient is φ = 49974312960.

The previous prime is 165125895163. The next prime is 165125895169. The reversal of 165125895168 is 861598521561.

It is a super-2 number, since 2×165125895168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165125895161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2402205 + ... + 2469987.

Almost surely, 2^165125895168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165125895168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240876680128).

165125895168 is an abundant number, since it is smaller than the sum of its proper divisors (316627465088).

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

165125895168 is a wasteful number, since it uses less digits than its factorization.

165125895168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67880 (or 67862 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 57.

The spelling of 165125895168 in words is "one hundred sixty-five billion, one hundred twenty-five million, eight hundred ninety-five thousand, one hundred sixty-eight".