138008 has 16 divisors (see below), whose sum is σ = 278880. Its totient is φ = 63648.

The previous prime is 138007. The next prime is 138041. The reversal of 138008 is 800831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138007) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 560 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (17430).

2¹³⁸⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

138008 is an abundant number, since it is smaller than the sum of its proper divisors (140872).

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

138008 is a wasteful number, since it uses less digits than its factorization.

138008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).

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

The square root of 138008 is about 371.4942799021. The cubic root of 138008 is about 51.6774910839.

Adding to 138008 its reverse (800831), we get a palindrome (938839).

The spelling of 138008 in words is "one hundred thirty-eight thousand, eight".