138437573184 has 189 divisors, whose sum is σ = 408796295817. Its totient is φ = 44791515648.

The previous prime is 138437573167. The next prime is 138437573191. The reversal of 138437573184 is 481375734831.

The square root of 138437573184 is 372072.

It is a perfect power (a square), and thus also a powerful number.

138437573184 is a `hidden beast` number, since 1 + 38 + 4 + 37 + 573 + 1 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123875841600 + 14561731584 = 351960^2 + 120672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 138437573184.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 330399727 + ... + 330400145.

Almost surely, 2^138437573184 is an apocalyptic number.

138437573184 is the 372072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138437573184

138437573184 is an abundant number, since it is smaller than the sum of its proper divisors (270358722633).

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

138437573184 is an frugal number, since it uses more digits than its factorization.

138437573184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 461 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 138437573184 in words is "one hundred thirty-eight billion, four hundred thirty-seven million, five hundred seventy-three thousand, one hundred eighty-four".