138208 has 24 divisors (see below), whose sum is σ = 311472. Its totient is φ = 59136.

The previous prime is 138197. The next prime is 138209. The reversal of 138208 is 802831.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 85 + ... + 532.

It is an arithmetic number, because the mean of its divisors is an integer number (12978).

2¹³⁸²⁰⁸ is an apocalyptic number.

It is an amenable number.

138208 is an abundant number, since it is smaller than the sum of its proper divisors (173264).

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

138208 is an equidigital number, since it uses as much as digits as its factorization.

138208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 138208 is about 371.7633655970. The cubic root of 138208 is about 51.7024425590.

The spelling of 138208 in words is "one hundred thirty-eight thousand, two hundred eight".