138300813 has 24 divisors (see below), whose sum is σ = 230338368. Its totient is φ = 78325632.

The previous prime is 138300803. The next prime is 138300823. The reversal of 138300813 is 318003831.

138300813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138300803) and next prime (138300823).

It is not a de Polignac number, because 138300813 - 2⁸ = 138300557 is a prime.

It is a super-2 number, since 2×138300813² = 38254229752921938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138300803) 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, 2595 + ... + 16832.

It is an arithmetic number, because the mean of its divisors is an integer number (9597432).

Almost surely, 2^138300813 is an apocalyptic number.

It is an amenable number.

138300813 is a deficient number, since it is larger than the sum of its proper divisors (92037555).

138300813 is a wasteful number, since it uses less digits than its factorization.

138300813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19553 (or 19550 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 138300813 is about 11760.1366063494. The cubic root of 138300813 is about 517.1401348840.

The spelling of 138300813 in words is "one hundred thirty-eight million, three hundred thousand, eight hundred thirteen".