138363200 has 42 divisors (see below), whose sum is σ = 340463886. Its totient is φ = 55344640.

The previous prime is 138363191. The next prime is 138363217. The reversal of 138363200 is 2363831.

It can be written as a sum of positive squares in 3 ways, for example, as 817216 + 137545984 = 904^2 + 11728^2 .

It is a super-2 number, since 2×138363200² = 38288750228480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138363200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41639 + ... + 44838.

It is an arithmetic number, because the mean of its divisors is an integer number (8106283).

Almost surely, 2^138363200 is an apocalyptic number.

138363200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138363200 is an abundant number, since it is smaller than the sum of its proper divisors (202100686).

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

138363200 is an equidigital number, since it uses as much as digits as its factorization.

138363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86499 (or 86484 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 138363200 is about 11762.7887849778. The cubic root of 138363200 is about 517.2178832137.

The spelling of 138363200 in words is "one hundred thirty-eight million, three hundred sixty-three thousand, two hundred".