138904800 has 144 divisors (see below), whose sum is σ = 466970112. Its totient is φ = 35827200.

The previous prime is 138904793. The next prime is 138904811. The reversal of 138904800 is 8409831.

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, 73467 + ... + 75333.

It is an arithmetic number, because the mean of its divisors is an integer number (3242848).

Almost surely, 2^138904800 is an apocalyptic number.

138904800 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 138904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233485056).

138904800 is an abundant number, since it is smaller than the sum of its proper divisors (328065312).

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

138904800 is a wasteful number, since it uses less digits than its factorization.

138904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 138904800 is about 11785.7880517172. The cubic root of 138904800 is about 517.8918593792.

The spelling of 138904800 in words is "one hundred thirty-eight million, nine hundred four thousand, eight hundred".