138072989846400 has 3072 divisors, whose sum is σ = 602239397068800. Its totient is φ = 27037886054400.

The previous prime is 138072989846339. The next prime is 138072989846497. The reversal of 138072989846400 is 4648989270831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 105641154547 + ... + 105641155853.

It is an arithmetic number, because the mean of its divisors is an integer number (196041470400).

Almost surely, 2^{138072989846400} is an apocalyptic number.

138072989846400 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 138072989846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301119698534400).

138072989846400 is an abundant number, since it is smaller than the sum of its proper divisors (464166407222400).

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

138072989846400 is a wasteful number, since it uses less digits than its factorization.

138072989846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 69.

The spelling of 138072989846400 in words is "one hundred thirty-eight trillion, seventy-two billion, nine hundred eighty-nine million, eight hundred forty-six thousand, four hundred".