165385800 has 288 divisors, whose sum is σ = 597149280. Its totient is φ = 42508800.

The previous prime is 165385799. The next prime is 165385813. The reversal of 165385800 is 8583561.

165385800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1992559 + ... + 1992641.

It is an arithmetic number, because the mean of its divisors is an integer number (2073435).

Almost surely, 2^165385800 is an apocalyptic number.

165385800 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 165385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298574640).

165385800 is an abundant number, since it is smaller than the sum of its proper divisors (431763480).

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

165385800 is a wasteful number, since it uses less digits than its factorization.

165385800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165385800 is about 12860.2410552835. The cubic root of 165385800 is about 548.9078049967.

The spelling of 165385800 in words is "one hundred sixty-five million, three hundred eighty-five thousand, eight hundred".