138200 has 24 divisors (see below), whose sum is σ = 321780. Its totient is φ = 55200.

The previous prime is 138197. The next prime is 138209. The reversal of 138200 is 2831.

138200 = 62² + 63² + ... + 86².

138200 is nontrivially palindromic in base 6.

138200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138200.

It is not an unprimeable number, because it can be changed into a prime (138209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146 + ... + 545.

2¹³⁸²⁰⁰ is an apocalyptic number.

138200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138200 is an abundant number, since it is smaller than the sum of its proper divisors (183580).

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

138200 is a wasteful number, since it uses less digits than its factorization.

138200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 138200 is about 371.7526059088. The cubic root of 138200 is about 51.7014449623.

The spelling of 138200 in words is "one hundred thirty-eight thousand, two hundred".