165137876500 has 48 divisors (see below), whose sum is σ = 361892368656. Its totient is φ = 65829648000.

The previous prime is 165137876381. The next prime is 165137876509. The reversal of 165137876500 is 5678731561.

It can be written as a sum of positive squares in 8 ways, for example, as 40887266436 + 124250610064 = 202206^2 + 352492^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165137876509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417111 + ... + 710110.

It is an arithmetic number, because the mean of its divisors is an integer number (7539424347).

Almost surely, 2^165137876500 is an apocalyptic number.

165137876500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165137876500 is an abundant number, since it is smaller than the sum of its proper divisors (196754492156).

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

165137876500 is a wasteful number, since it uses less digits than its factorization.

165137876500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127533 (or 1127521 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 165137876500 in words is "one hundred sixty-five billion, one hundred thirty-seven million, eight hundred seventy-six thousand, five hundred".