165238800 has 60 divisors (see below), whose sum is σ = 529318800. Its totient is φ = 44063360.

The previous prime is 165238771. The next prime is 165238819. The reversal of 165238800 is 8832561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×165238800² = 54607722050880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67650 + ... + 70049.

It is an arithmetic number, because the mean of its divisors is an integer number (8821980).

Almost surely, 2^165238800 is an apocalyptic number.

165238800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165238800 is an abundant number, since it is smaller than the sum of its proper divisors (364080000).

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

165238800 is a wasteful number, since it uses less digits than its factorization.

165238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137720 (or 137709 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 165238800 is about 12854.5244952896. The cubic root of 165238800 is about 548.7451280608.

The spelling of 165238800 in words is "one hundred sixty-five million, two hundred thirty-eight thousand, eight hundred".