165045888 has 192 divisors, whose sum is σ = 550979520. Its totient is φ = 46448640.

The previous prime is 165045871. The next prime is 165045899. The reversal of 165045888 is 888540561.

165045888 is a `hidden beast` number, since 1 + 65 + 0 + 4 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 782103 + ... + 782313.

It is an arithmetic number, because the mean of its divisors is an integer number (2869685).

Almost surely, 2^165045888 is an apocalyptic number.

165045888 is a gapful number since it is divisible by the number (18) 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 165045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275489760).

165045888 is an abundant number, since it is smaller than the sum of its proper divisors (385933632).

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

165045888 is a wasteful number, since it uses less digits than its factorization.

165045888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 165045888 is about 12847.0186424711. The cubic root of 165045888 is about 548.5314963492.

The spelling of 165045888 in words is "one hundred sixty-five million, forty-five thousand, eight hundred eighty-eight".