138931200 has 330 divisors, whose sum is σ = 522124196. Its totient is φ = 36495360.

The previous prime is 138931193. The next prime is 138931207. The reversal of 138931200 is 2139831.

It is an interprime number because it is at equal distance from previous prime (138931193) and next prime (138931207).

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 (138931207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073567 + ... + 2073633.

Almost surely, 2^138931200 is an apocalyptic number.

138931200 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 138931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261062098).

138931200 is an abundant number, since it is smaller than the sum of its proper divisors (383192996).

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

138931200 is an equidigital number, since it uses as much as digits as its factorization.

138931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 138931200 is about 11786.9079914963. The cubic root of 138931200 is about 517.9246671703.

The spelling of 138931200 in words is "one hundred thirty-eight million, nine hundred thirty-one thousand, two hundred".