165390120 has 256 divisors, whose sum is σ = 638668800. Its totient is φ = 37290240.

The previous prime is 165390119. The next prime is 165390131. The reversal of 165390120 is 21093561.

165390120 is a `hidden beast` number, since 1 + 6 + 539 + 0 + 120 = 666.

It is a super-2 number, since 2×165390120² = 54707783587228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 990277 + ... + 990443.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^165390120 is an apocalyptic number.

165390120 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 165390120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319334400).

165390120 is an abundant number, since it is smaller than the sum of its proper divisors (473278680).

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

165390120 is a wasteful number, since it uses less digits than its factorization.

165390120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 165390120 is about 12860.4090137134. The cubic root of 165390120 is about 548.9125842483.

The spelling of 165390120 in words is "one hundred sixty-five million, three hundred ninety thousand, one hundred twenty".