138536128584 has 96 divisors (see below), whose sum is σ = 436070232000. Its totient is φ = 38910865536.

The previous prime is 138536128583. The next prime is 138536128603. The reversal of 138536128584 is 485821635831.

138536128584 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 36 + 1 + 28 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138536128584.

It is not an unprimeable number, because it can be changed into a prime (138536128583) 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, 2299699 + ... + 2359170.

It is an arithmetic number, because the mean of its divisors is an integer number (4542398250).

Almost surely, 2^138536128584 is an apocalyptic number.

138536128584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138536128584 is an abundant number, since it is smaller than the sum of its proper divisors (297534103416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138536128584 is a wasteful number, since it uses less digits than its factorization.

138536128584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658947 (or 4658940 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 138536128584 in words is "one hundred thirty-eight billion, five hundred thirty-six million, one hundred twenty-eight thousand, five hundred eighty-four".