138285900 has 72 divisors (see below), whose sum is σ = 444572240. Its totient is φ = 36875520.

The previous prime is 138285899. The next prime is 138285929. The reversal of 138285900 is 9582831.

138285900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×138285900³ (a number of 25 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 22909 + ... + 28308.

Almost surely, 2^138285900 is an apocalyptic number.

138285900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138285900 is an abundant number, since it is smaller than the sum of its proper divisors (306286340).

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

138285900 is a wasteful number, since it uses less digits than its factorization.

138285900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51240 (or 51227 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 138285900 is about 11759.5025404989. The cubic root of 138285900 is about 517.1215464465.

The spelling of 138285900 in words is "one hundred thirty-eight million, two hundred eighty-five thousand, nine hundred".