138715200 has 504 divisors, whose sum is σ = 576376800. Its totient is φ = 32348160.

The previous prime is 138715169. The next prime is 138715201. The reversal of 138715200 is 2517831.

138715200 is a `hidden beast` number, since 138 + 7 + 1 + 520 + 0 = 666.

It is a super-2 number, since 2×138715200² = 38483813422080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (138715201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7300791 + ... + 7300809.

Almost surely, 2^138715200 is an apocalyptic number.

138715200 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 138715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288188400).

138715200 is an abundant number, since it is smaller than the sum of its proper divisors (437661600).

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

138715200 is a wasteful number, since it uses less digits than its factorization.

138715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 138715200 is about 11777.7417190224. The cubic root of 138715200 is about 517.6561175696.

The spelling of 138715200 in words is "one hundred thirty-eight million, seven hundred fifteen thousand, two hundred".