138828354652584 has 24 divisors (see below), whose sum is σ = 375993460517610. Its totient is φ = 46276118217504.

The previous prime is 138828354652573. The next prime is 138828354652633. The reversal of 138828354652584 is 485256453828831.

138828354652584 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 2 + 8 + 35 + 4 + 6 + 5 + 2 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87731734376484 + 51096620276100 = 9366522^2 + 7148190^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 1928171592397 = 138828354652584 / (1 + 3 + 8 + 8 + 2 + 8 + 3 + 5 + 4 + 6 + 5 + 2 + 5 + 8 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 964085796127 + ... + 964085796270.

Almost surely, 2^{138828354652584} is an apocalyptic number.

It is an amenable number.

138828354652584 is an abundant number, since it is smaller than the sum of its proper divisors (237165105865026).

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

138828354652584 is a wasteful number, since it uses less digits than its factorization.

138828354652584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928171592409 (or 1928171592402 counting only the distinct ones).

The product of its digits is 1769472000, while the sum is 72.

The spelling of 138828354652584 in words is "one hundred thirty-eight trillion, eight hundred twenty-eight billion, three hundred fifty-four million, six hundred fifty-two thousand, five hundred eighty-four".