138700 has 36 divisors (see below), whose sum is σ = 321160. Its totient is φ = 51840.

The previous prime is 138683. The next prime is 138727. The reversal of 138700 is 7831.

138700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

138700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1864 + ... + 1936.

2¹³⁸⁷⁰⁰ is an apocalyptic number.

138700 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 138700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160580).

138700 is an abundant number, since it is smaller than the sum of its proper divisors (182460).

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

138700 is a wasteful number, since it uses less digits than its factorization.

138700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 138700 is about 372.4244889907. The cubic root of 138700 is about 51.7637209138.

It can be divided in two parts, 138 and 700, that added together give a palindrome (838).

The spelling of 138700 in words is "one hundred thirty-eight thousand, seven hundred".