138955981824 has 297 divisors, whose sum is σ = 442276922269. Its totient is φ = 41988587520.

The previous prime is 138955981817. The next prime is 138955981861. The reversal of 138955981824 is 428189559831.

The square root of 138955981824 is 372768.

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

138955981824 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 5 + 598 + 18 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56453760000 + 82502221824 = 237600^2 + 287232^2 .

It is a Duffinian number.

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, 393642832 + ... + 393643184.

Almost surely, 2^138955981824 is an apocalyptic number.

138955981824 is the 372768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138955981824

138955981824 is an abundant number, since it is smaller than the sum of its proper divisors (303320940445).

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

138955981824 is an equidigital number, since it uses as much as digits as its factorization.

138955981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 369 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 63.

The spelling of 138955981824 in words is "one hundred thirty-eight billion, nine hundred fifty-five million, nine hundred eighty-one thousand, eight hundred twenty-four".