138386367 has 64 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 73903104.

The previous prime is 138386363. The next prime is 138386383. The reversal of 138386367 is 763683831.

138386367 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 8 + 636 + 7 = 666.

It is not a de Polignac number, because 138386367 - 2² = 138386363 is a prime.

It is a super-3 number, since 3×138386367³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138386363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319383 + ... + 319815.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2^138386367 is an apocalyptic number.

138386367 is a deficient number, since it is larger than the sum of its proper divisors (111597633).

138386367 is a wasteful number, since it uses less digits than its factorization.

138386367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 138386367 is about 11763.7735017298. The cubic root of 138386367 is about 517.2467485912.

The spelling of 138386367 in words is "one hundred thirty-eight million, three hundred eighty-six thousand, three hundred sixty-seven".