138620 has 24 divisors (see below), whose sum is σ = 302400. Its totient is φ = 53312.

The previous prime is 138617. The next prime is 138629. The reversal of 138620 is 26831.

138620 is nontrivially palindromic in base 9.

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

It is a junction number, because it is equal to n+sod(n) for n = 138592 and 138601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹³⁸⁶²⁰ is an apocalyptic number.

138620 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 138620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

138620 is an abundant number, since it is smaller than the sum of its proper divisors (163780).

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

138620 is a wasteful number, since it uses less digits than its factorization.

138620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 138620 is about 372.3170691763. The cubic root of 138620 is about 51.7537668304.

The spelling of 138620 in words is "one hundred thirty-eight thousand, six hundred twenty".