138516584 has 8 divisors (see below), whose sum is σ = 259718610. Its totient is φ = 69258288.

The previous prime is 138516583. The next prime is 138516589. The reversal of 138516584 is 485615831.

138516584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 80604484 + 57912100 = 8978^2 + 7610^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (138516583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8657279 + ... + 8657294.

Almost surely, 2^138516584 is an apocalyptic number.

It is an amenable number.

138516584 is a deficient number, since it is larger than the sum of its proper divisors (121202026).

138516584 is a wasteful number, since it uses less digits than its factorization.

138516584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17314579 (or 17314575 counting only the distinct ones).

The product of its digits is 115200, while the sum is 41.

The square root of 138516584 is about 11769.3068614936. The cubic root of 138516584 is about 517.4089350991.

The spelling of 138516584 in words is "one hundred thirty-eight million, five hundred sixteen thousand, five hundred eighty-four".