138392800 has 144 divisors (see below), whose sum is σ = 416035872. Its totient is φ = 43776000.

The previous prime is 138392783. The next prime is 138392803. The reversal of 138392800 is 8293831.

138392800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138392803) 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, 71850 + ... + 73750.

It is an arithmetic number, because the mean of its divisors is an integer number (2889138).

Almost surely, 2^138392800 is an apocalyptic number.

138392800 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 138392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208017936).

138392800 is an abundant number, since it is smaller than the sum of its proper divisors (277643072).

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

138392800 is a wasteful number, since it uses less digits than its factorization.

138392800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 138392800 is about 11764.0469227218. The cubic root of 138392800 is about 517.2547633421.

The spelling of 138392800 in words is "one hundred thirty-eight million, three hundred ninety-two thousand, eight hundred".