138320911872 has 480 divisors, whose sum is σ = 484740120480. Its totient is φ = 38685081600.

The previous prime is 138320911837. The next prime is 138320911877. The reversal of 138320911872 is 278119023831.

138320911872 is a `hidden beast` number, since 1 + 383 + 2 + 0 + 91 + 187 + 2 = 666.

It is a super-2 number, since 2×138320911872² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138320911877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21741972 + ... + 21748332.

It is an arithmetic number, because the mean of its divisors is an integer number (1009875251).

Almost surely, 2^138320911872 is an apocalyptic number.

138320911872 is a gapful number since it is divisible by the number (12) 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 138320911872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242370060240).

138320911872 is an abundant number, since it is smaller than the sum of its proper divisors (346419208608).

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

138320911872 is a wasteful number, since it uses less digits than its factorization.

138320911872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 138320911872 in words is "one hundred thirty-eight billion, three hundred twenty million, nine hundred eleven thousand, eight hundred seventy-two".