138113136 has 120 divisors (see below), whose sum is σ = 444770144. Its totient is φ = 39191040.

The previous prime is 138113111. The next prime is 138113141. The reversal of 138113136 is 631311831.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182070 + ... + 182826.

Almost surely, 2^138113136 is an apocalyptic number.

138113136 is a gapful number since it is divisible by the number (16) 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 138113136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222385072).

138113136 is an abundant number, since it is smaller than the sum of its proper divisors (306657008).

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

138113136 is a wasteful number, since it uses less digits than its factorization.

138113136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 950 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 138113136 is about 11752.1545258731. The cubic root of 138113136 is about 516.9061057844.

Adding to 138113136 its reverse (631311831), we get a palindrome (769424967).

The spelling of 138113136 in words is "one hundred thirty-eight million, one hundred thirteen thousand, one hundred thirty-six".