138376413 has 48 divisors (see below), whose sum is σ = 247104000. Its totient is φ = 72811008.

The previous prime is 138376409. The next prime is 138376423. The reversal of 138376413 is 314673831.

138376413 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 7 + 641 + 3 = 666.

It is not a de Polignac number, because 138376413 - 2² = 138376409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138376423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48963 + ... + 51711.

It is an arithmetic number, because the mean of its divisors is an integer number (5148000).

Almost surely, 2^138376413 is an apocalyptic number.

It is an amenable number.

138376413 is a deficient number, since it is larger than the sum of its proper divisors (108727587).

138376413 is a wasteful number, since it uses less digits than its factorization.

138376413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2823 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 138376413 is about 11763.3504155916. The cubic root of 138376413 is about 517.2343466046.

The spelling of 138376413 in words is "one hundred thirty-eight million, three hundred seventy-six thousand, four hundred thirteen".