138815600 has 120 divisors (see below), whose sum is σ = 415890048. Its totient is φ = 43257600.

The previous prime is 138815569. The next prime is 138815629. The reversal of 138815600 is 6518831.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 28547 + ... + 33053.

Almost surely, 2^138815600 is an apocalyptic number.

138815600 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 138815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207945024).

138815600 is an abundant number, since it is smaller than the sum of its proper divisors (277074448).

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

138815600 is a wasteful number, since it uses less digits than its factorization.

138815600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 138815600 is about 11782.0032252584. The cubic root of 138815600 is about 517.7809780516.

The spelling of 138815600 in words is "one hundred thirty-eight million, eight hundred fifteen thousand, six hundred".