138113137 has 16 divisors (see below), whose sum is σ = 147312000. Its totient is φ = 129216384.

The previous prime is 138113111. The next prime is 138113141. The reversal of 138113137 is 731311831.

It is a cyclic number.

It is not a de Polignac number, because 138113137 - 2¹¹ = 138111089 is a prime.

It is a super-2 number, since 2×138113137² = 38150477223961538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138113537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222814 + ... + 223432.

It is an arithmetic number, because the mean of its divisors is an integer number (9207000).

Almost surely, 2^138113137 is an apocalyptic number.

It is an amenable number.

138113137 is a deficient number, since it is larger than the sum of its proper divisors (9198863).

138113137 is a wasteful number, since it uses less digits than its factorization.

138113137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840.

The product of its digits is 1512, while the sum is 28.

The square root of 138113137 is about 11752.1545684185. The cubic root of 138113137 is about 516.9061070319.

Adding to 138113137 its reverse (731311831), we get a palindrome (869424968).

The spelling of 138113137 in words is "one hundred thirty-eight million, one hundred thirteen thousand, one hundred thirty-seven".