138686800 has 60 divisors (see below), whose sum is σ = 380802016. Its totient is φ = 47548800.

The previous prime is 138686797. The next prime is 138686809. The reversal of 138686800 is 8686831.

138686800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138686809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21966 + ... + 27565.

Almost surely, 2^138686800 is an apocalyptic number.

138686800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138686800 is an abundant number, since it is smaller than the sum of its proper divisors (242115216).

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

138686800 is a wasteful number, since it uses less digits than its factorization.

138686800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49556 (or 49545 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 138686800 is about 11776.5359932367. The cubic root of 138686800 is about 517.6207875381.

The spelling of 138686800 in words is "one hundred thirty-eight million, six hundred eighty-six thousand, eight hundred".