138513375 has 256 divisors, whose sum is σ = 352235520. Its totient is φ = 51840000.

The previous prime is 138513341. The next prime is 138513379. The reversal of 138513375 is 573315831.

It is a happy number.

138513375 is a `hidden beast` number, since 138 + 513 + 3 + 7 + 5 = 666.

138513375 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 138513375 - 2⁷ = 138513247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138513379) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3378355 + ... + 3378395.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^138513375 is an apocalyptic number.

138513375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138513375 is an abundant number, since it is smaller than the sum of its proper divisors (213722145).

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

138513375 is a wasteful number, since it uses less digits than its factorization.

138513375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 138513375 is about 11769.1705315201. The cubic root of 138513375 is about 517.4049394810.

The spelling of 138513375 in words is "one hundred thirty-eight million, five hundred thirteen thousand, three hundred seventy-five".