138257613 has 24 divisors (see below), whose sum is σ = 222010880. Its totient is φ = 82334880.

The previous prime is 138257573. The next prime is 138257627. The reversal of 138257613 is 316752831.

138257613 is a `hidden beast` number, since 1 + 3 + 82 + 576 + 1 + 3 = 666.

138257613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138257613 - 2¹⁰ = 138256589 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138257653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15433 + ... + 22686.

Almost surely, 2^138257613 is an apocalyptic number.

138257613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138257613 is a deficient number, since it is larger than the sum of its proper divisors (83753267).

138257613 is a wasteful number, since it uses less digits than its factorization.

138257613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38169 (or 38166 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 138257613 is about 11758.2997495386. The cubic root of 138257613 is about 517.0862841995.

The spelling of 138257613 in words is "one hundred thirty-eight million, two hundred fifty-seven thousand, six hundred thirteen".