165185280 has 216 divisors, whose sum is σ = 616045248. Its totient is φ = 40624128.

The previous prime is 165185233. The next prime is 165185299. The reversal of 165185280 is 82581561.

165185280 is a `hidden beast` number, since 16 + 518 + 52 + 80 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149209 + ... + 150311.

Almost surely, 2^165185280 is an apocalyptic number.

165185280 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 165185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308022624).

165185280 is an abundant number, since it is smaller than the sum of its proper divisors (450859968).

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

165185280 is a wasteful number, since it uses less digits than its factorization.

165185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 165185280 is about 12852.4425694107. The cubic root of 165185280 is about 548.6858764188.

The spelling of 165185280 in words is "one hundred sixty-five million, one hundred eighty-five thousand, two hundred eighty".