138399800 has 288 divisors, whose sum is σ = 435388800. Its totient is φ = 39916800.

The previous prime is 138399799. The next prime is 138399817. The reversal of 138399800 is 8993831.

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 71 ways as a sum of consecutive naturals, for example, 3218579 + ... + 3218621.

Almost surely, 2^138399800 is an apocalyptic number.

138399800 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 138399800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217694400).

138399800 is an abundant number, since it is smaller than the sum of its proper divisors (296989000).

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

138399800 is a wasteful number, since it uses less digits than its factorization.

138399800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 138399800 is about 11764.3444356241. The cubic root of 138399800 is about 517.2634842252.

The spelling of 138399800 in words is "one hundred thirty-eight million, three hundred ninety-nine thousand, eight hundred".