138312800 has 72 divisors (see below), whose sum is σ = 352383696. Its totient is φ = 52912640.

The previous prime is 138312787. The next prime is 138312817. The reversal of 138312800 is 8213831.

It is a self number, because there is not a number n which added to its sum of digits gives 138312800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14642 + ... + 22158.

It is an arithmetic number, because the mean of its divisors is an integer number (4894218).

Almost surely, 2^138312800 is an apocalyptic number.

138312800 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 138312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176191848).

138312800 is an abundant number, since it is smaller than the sum of its proper divisors (214070896).

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

138312800 is a wasteful number, since it uses less digits than its factorization.

138312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7560 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 138312800 is about 11760.6462407471. The cubic root of 138312800 is about 517.1550752149.

The spelling of 138312800 in words is "one hundred thirty-eight million, three hundred twelve thousand, eight hundred".