165044160 has 168 divisors, whose sum is σ = 601254576. Its totient is φ = 41410560.

The previous prime is 165044153. The next prime is 165044189. The reversal of 165044160 is 61440561.

165044160 is a `hidden beast` number, since 1 + 650 + 4 + 4 + 1 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47275 + ... + 50645.

Almost surely, 2^165044160 is an apocalyptic number.

165044160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300627288).

165044160 is an abundant number, since it is smaller than the sum of its proper divisors (436210416).

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

165044160 is a wasteful number, since it uses less digits than its factorization.

165044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 165044160 is about 12846.9513893375. The cubic root of 165044160 is about 548.5295820014.

The spelling of 165044160 in words is "one hundred sixty-five million, forty-four thousand, one hundred sixty".