165290048 has 112 divisors (see below), whose sum is σ = 433206144. Its totient is φ = 60579840.

The previous prime is 165290039. The next prime is 165290051. The reversal of 165290048 is 840092561.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82790 + ... + 84762.

It is an arithmetic number, because the mean of its divisors is an integer number (3867912).

Almost surely, 2^165290048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216603072).

165290048 is an abundant number, since it is smaller than the sum of its proper divisors (267916096).

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

165290048 is a wasteful number, since it uses less digits than its factorization.

165290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 165290048 is about 12856.5177244851. The cubic root of 165290048 is about 548.8018523965.

The spelling of 165290048 in words is "one hundred sixty-five million, two hundred ninety thousand, forty-eight".