165131980 has 48 divisors (see below), whose sum is σ = 374391360. Its totient is φ = 60818688.

The previous prime is 165131977. The next prime is 165132001. The reversal of 165131980 is 89131561.

It is an unprimeable number.

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, 196401 + ... + 197239.

It is an arithmetic number, because the mean of its divisors is an integer number (7799820).

Almost surely, 2^165131980 is an apocalyptic number.

165131980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165131980 is an abundant number, since it is smaller than the sum of its proper divisors (209259380).

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

165131980 is a wasteful number, since it uses less digits than its factorization.

165131980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 165131980 is about 12850.3688663011. The cubic root of 165131980 is about 548.6268556166.

It can be divided in two parts, 165 and 131980, that multiplied together give a triangular number (21776700 = T₆₅₉₉).

The spelling of 165131980 in words is "one hundred sixty-five million, one hundred thirty-one thousand, nine hundred eighty".