138800 has 30 divisors (see below), whose sum is σ = 334428. Its totient is φ = 55360.

The previous prime is 138799. The next prime is 138821. The reversal of 138800 is 8831.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 227 + ... + 573.

2¹³⁸⁸⁰⁰ is an apocalyptic number.

138800 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 138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167214).

138800 is an abundant number, since it is smaller than the sum of its proper divisors (195628).

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

138800 is a wasteful number, since it uses less digits than its factorization.

138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 138800 is about 372.5587202039. The cubic root of 138800 is about 51.7761581370.

The spelling of 138800 in words is "one hundred thirty-eight thousand, eight hundred".