165125828928 has 56 divisors (see below), whose sum is σ = 437271676128. Its totient is φ = 54994541056.

The previous prime is 165125828911. The next prime is 165125829047. The reversal of 165125828928 is 829828521561.

It is a super-3 number, since 3×165125828928³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 146451 + ... + 593042.

It is an arithmetic number, because the mean of its divisors is an integer number (7808422788).

Almost surely, 2^165125828928 is an apocalyptic number.

It is an amenable number.

165125828928 is an abundant number, since it is smaller than the sum of its proper divisors (272145847200).

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

165125828928 is a wasteful number, since it uses less digits than its factorization.

165125828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740671 (or 740661 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 57.

The spelling of 165125828928 in words is "one hundred sixty-five billion, one hundred twenty-five million, eight hundred twenty-eight thousand, nine hundred twenty-eight".