138900 has 36 divisors (see below), whose sum is σ = 402752. Its totient is φ = 36960.

The previous prime is 138899. The next prime is 138917. The reversal of 138900 is 9831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69 + ... + 531.

2¹³⁸⁹⁰⁰ is an apocalyptic number.

138900 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 138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201376).

138900 is an abundant number, since it is smaller than the sum of its proper divisors (263852).

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

138900 is a wasteful number, since it uses less digits than its factorization.

138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 138900 is about 372.6929030717. The cubic root of 138900 is about 51.7885893880.

The spelling of 138900 in words is "one hundred thirty-eight thousand, nine hundred".