138256810720 has 384 divisors, whose sum is σ = 398194900992. Its totient is φ = 44358451200.

The previous prime is 138256810591. The next prime is 138256810793. The reversal of 138256810720 is 27018652831.

It is a super-2 number, since 2×138256810720² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360983649 + ... + 360984031.

It is an arithmetic number, because the mean of its divisors is an integer number (1036965888).

Almost surely, 2^138256810720 is an apocalyptic number.

138256810720 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 138256810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199097450496).

138256810720 is an abundant number, since it is smaller than the sum of its proper divisors (259938090272).

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

138256810720 is a wasteful number, since it uses less digits than its factorization.

138256810720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 138256810720 in words is "one hundred thirty-eight billion, two hundred fifty-six million, eight hundred ten thousand, seven hundred twenty".