138584313 has 24 divisors (see below), whose sum is σ = 234099008. Its totient is φ = 77347872.

The previous prime is 138584311. The next prime is 138584339. The reversal of 138584313 is 313485831.

It is not a de Polignac number, because 138584313 - 2¹ = 138584311 is a prime.

It is a super-2 number, since 2×138584313² = 38411223619363938, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138584311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22870 + ... + 28287.

Almost surely, 2^138584313 is an apocalyptic number.

It is an amenable number.

138584313 is a deficient number, since it is larger than the sum of its proper divisors (95514695).

138584313 is a wasteful number, since it uses less digits than its factorization.

138584313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51213 (or 51210 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 138584313 is about 11772.1838670656. The cubic root of 138584313 is about 517.4932520299.

The spelling of 138584313 in words is "one hundred thirty-eight million, five hundred eighty-four thousand, three hundred thirteen".