165130164 has 42 divisors (see below), whose sum is σ = 433276130. Its totient is φ = 55042416.

The previous prime is 165130153. The next prime is 165130169. The reversal of 165130164 is 461031561.

165130164 is a `hidden beast` number, since 1 + 651 + 3 + 0 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134792100 + 30338064 = 11610^2 + 5508^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165130169) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 25399 + ... + 31230.

Almost surely, 2^165130164 is an apocalyptic number.

It is an amenable number.

165130164 is an abundant number, since it is smaller than the sum of its proper divisors (268145966).

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

165130164 is an equidigital number, since it uses as much as digits as its factorization.

165130164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56651 (or 56634 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 165130164 is about 12850.2982066565. The cubic root of 165130164 is about 548.6248444777.

The spelling of 165130164 in words is "one hundred sixty-five million, one hundred thirty thousand, one hundred sixty-four".