138356573760 has 168 divisors, whose sum is σ = 478519988856. Its totient is φ = 36691107840.

The previous prime is 138356573753. The next prime is 138356573791. The reversal of 138356573760 is 67375653831.

138356573760 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 5 + 6 + 573 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 614643264 + 137741930496 = 24792^2 + 371136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 138356573697 and 138356573706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388572 + ... + 653988.

It is an arithmetic number, because the mean of its divisors is an integer number (2848333267).

Almost surely, 2^138356573760 is an apocalyptic number.

138356573760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138356573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239259994428).

138356573760 is an abundant number, since it is smaller than the sum of its proper divisors (340163415096).

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

138356573760 is a wasteful number, since it uses less digits than its factorization.

138356573760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265621 (or 265608 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 138356573760 in words is "one hundred thirty-eight billion, three hundred fifty-six million, five hundred seventy-three thousand, seven hundred sixty".