165135137972 has 24 divisors (see below), whose sum is σ = 338325650880. Its totient is φ = 69046050240.

The previous prime is 165135137939. The next prime is 165135137983. The reversal of 165135137972 is 279731531561.

165135137972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165135137972² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 165135137972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71921822 + ... + 71924117.

It is an arithmetic number, because the mean of its divisors is an integer number (14096902120).

Almost surely, 2^165135137972 is an apocalyptic number.

It is an amenable number.

165135137972 is an abundant number, since it is smaller than the sum of its proper divisors (173190512908).

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

165135137972 is a wasteful number, since it uses less digits than its factorization.

165135137972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143845991 (or 143845989 counting only the distinct ones).

The product of its digits is 1190700, while the sum is 50.

The spelling of 165135137972 in words is "one hundred sixty-five billion, one hundred thirty-five million, one hundred thirty-seven thousand, nine hundred seventy-two".