165136576900 has 27 divisors (see below), whose sum is σ = 358355190319. Its totient is φ = 66053005280.

The previous prime is 165136576837. The next prime is 165136576901. The reversal of 165136576900 is 9675631561.

The square root of 165136576900 is 406370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 97802554756 + 67334022144 = 312734^2 + 259488^2 .

It is a super-2 number, since 2×165136576900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165136576901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4043382 + ... + 4084018.

Almost surely, 2^165136576900 is an apocalyptic number.

165136576900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165136576900 is the 406370-th square number.

It is an amenable number.

165136576900 is an abundant number, since it is smaller than the sum of its proper divisors (193218613419).

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

165136576900 is an frugal number, since it uses more digits than its factorization.

165136576900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81288 (or 40644 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 49.

Multiplying 165136576900 by its sum of digits (49), we get a square (8091692268100 = 2844590²).

The spelling of 165136576900 in words is "one hundred sixty-five billion, one hundred thirty-six million, five hundred seventy-six thousand, nine hundred".