138108 has 24 divisors (see below), whose sum is σ = 341712. Its totient is φ = 43264.

The previous prime is 138107. The next prime is 138113. The reversal of 138108 is 801831.

138108 = 82² + 83² + ... + 98².

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138108.

It is not an unprimeable number, because it can be changed into a prime (138101) 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, 135 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (14238).

2¹³⁸¹⁰⁸ is an apocalyptic number.

It is an amenable number.

138108 is an abundant number, since it is smaller than the sum of its proper divisors (203604).

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

138108 is a wasteful number, since it uses less digits than its factorization.

138108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 138108 is about 371.6288471042. The cubic root of 138108 is about 51.6899698326.

Adding to 138108 its reverse (801831), we get a palindrome (939939).

The spelling of 138108 in words is "one hundred thirty-eight thousand, one hundred eight".