165180564 has 36 divisors (see below), whose sum is σ = 417938976. Its totient is φ = 55007568.

The previous prime is 165180559. The next prime is 165180583. The reversal of 165180564 is 465081561.

165180564 is a `hidden beast` number, since 16 + 5 + 1 + 80 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60697 + ... + 63359.

It is an arithmetic number, because the mean of its divisors is an integer number (11609416).

Almost surely, 2^165180564 is an apocalyptic number.

It is an amenable number.

165180564 is an abundant number, since it is smaller than the sum of its proper divisors (252758412).

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

165180564 is a wasteful number, since it uses less digits than its factorization.

165180564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165180564 is about 12852.2591010297. The cubic root of 165180564 is about 548.6806547526.

It can be divided in two parts, 1651 and 80564, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 165180564 in words is "one hundred sixty-five million, one hundred eighty thousand, five hundred sixty-four".