138765200 has 60 divisors (see below), whose sum is σ = 381017280. Its totient is φ = 47575680.

The previous prime is 138765199. The next prime is 138765223. The reversal of 138765200 is 2567831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21980 + ... + 27579.

It is an arithmetic number, because the mean of its divisors is an integer number (6350288).

Almost surely, 2^138765200 is an apocalyptic number.

138765200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138765200 is an abundant number, since it is smaller than the sum of its proper divisors (242252080).

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

138765200 is a wasteful number, since it uses less digits than its factorization.

138765200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49584 (or 49573 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 138765200 is about 11779.8641757874. The cubic root of 138765200 is about 517.7183066127.

The spelling of 138765200 in words is "one hundred thirty-eight million, seven hundred sixty-five thousand, two hundred".