138684900 has 72 divisors (see below), whose sum is σ = 404911584. Its totient is φ = 36646400.

The previous prime is 138684899. The next prime is 138684901. The reversal of 138684900 is 9486831.

It is an interprime number because it is at equal distance from previous prime (138684899) and next prime (138684901).

It is not an unprimeable number, because it can be changed into a prime (138684901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31855 + ... + 35945.

It is an arithmetic number, because the mean of its divisors is an integer number (5623772).

Almost surely, 2^138684900 is an apocalyptic number.

138684900 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 138684900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202455792).

138684900 is an abundant number, since it is smaller than the sum of its proper divisors (266226684).

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

138684900 is a wasteful number, since it uses less digits than its factorization.

138684900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 138684900 is about 11776.4553240778. The cubic root of 138684900 is about 517.6184237371.

The spelling of 138684900 in words is "one hundred thirty-eight million, six hundred eighty-four thousand, nine hundred".