138740719104 has 200 divisors, whose sum is σ = 445960441080. Its totient is φ = 42689286144.

The previous prime is 138740719087. The next prime is 138740719151. The reversal of 138740719104 is 401917047831.

138740719104 is a `hidden beast` number, since 138 + 7 + 407 + 1 + 9 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138740719104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 410467 + ... + 667805.

Almost surely, 2^138740719104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138740719104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222980220540).

138740719104 is an abundant number, since it is smaller than the sum of its proper divisors (307219721976).

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

138740719104 is an equidigital number, since it uses as much as digits as its factorization.

138740719104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257382 (or 257357 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 138740719104 in words is "one hundred thirty-eight billion, seven hundred forty million, seven hundred nineteen thousand, one hundred four".