165128967936 has 108 divisors (see below), whose sum is σ = 477215051040. Its totient is φ = 54914949120.

The previous prime is 165128967929. The next prime is 165128967937. The reversal of 165128967936 is 639769821561.

165128967936 is a `hidden beast` number, since 1 + 6 + 512 + 89 + 6 + 7 + 9 + 36 = 666.

It is a super-2 number, since 2×165128967936² (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 (165128967937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909880 + ... + 1076168.

It is an arithmetic number, because the mean of its divisors is an integer number (4418657880).

Almost surely, 2^165128967936 is an apocalyptic number.

165128967936 is a gapful number since it is divisible by the number (16) 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 165128967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238607525520).

165128967936 is an abundant number, since it is smaller than the sum of its proper divisors (312086083104).

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

165128967936 is a wasteful number, since it uses less digits than its factorization.

165128967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166742 (or 166725 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 165128967936 in words is "one hundred sixty-five billion, one hundred twenty-eight million, nine hundred sixty-seven thousand, nine hundred thirty-six".