138707200 has 54 divisors (see below), whose sum is σ = 343337834. Its totient is φ = 55480320.

The previous prime is 138707167. The next prime is 138707221. The reversal of 138707200 is 2707831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 42823936 + 95883264 = 6544^2 + 9792^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4437 + ... + 17236.

Almost surely, 2^138707200 is an apocalyptic number.

138707200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138707200 is an abundant number, since it is smaller than the sum of its proper divisors (204630634).

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

138707200 is an equidigital number, since it uses as much as digits as its factorization.

138707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21699 (or 21680 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 138707200 is about 11777.4020904442. The cubic root of 138707200 is about 517.6461659359.

The spelling of 138707200 in words is "one hundred thirty-eight million, seven hundred seven thousand, two hundred".