138013785 has 48 divisors (see below), whose sum is σ = 294438144. Its totient is φ = 58237056.

The previous prime is 138013763. The next prime is 138013787. The reversal of 138013785 is 587310831.

138013785 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 138013785 - 2⁵ = 138013753 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138013787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12757 + ... + 20946.

It is an arithmetic number, because the mean of its divisors is an integer number (6134128).

Almost surely, 2^138013785 is an apocalyptic number.

138013785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138013785 is an abundant number, since it is smaller than the sum of its proper divisors (156424359).

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

138013785 is a wasteful number, since it uses less digits than its factorization.

138013785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33734 (or 33731 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 138013785 is about 11747.9268383830. The cubic root of 138013785 is about 516.7821314376.

The spelling of 138013785 in words is "one hundred thirty-eight million, thirteen thousand, seven hundred eighty-five".