138226475520 has 480 divisors, whose sum is σ = 558302659200. Its totient is φ = 31592816640.

The previous prime is 138226475507. The next prime is 138226475591. The reversal of 138226475520 is 25574622831.

138226475520 is a `hidden beast` number, since 1 + 3 + 82 + 2 + 6 + 47 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7893975 + ... + 7911465.

It is an arithmetic number, because the mean of its divisors is an integer number (1163130540).

Almost surely, 2^138226475520 is an apocalyptic number.

138226475520 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 138226475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279151329600).

138226475520 is an abundant number, since it is smaller than the sum of its proper divisors (420076183680).

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

138226475520 is an equidigital number, since it uses as much as digits as its factorization.

138226475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17541 (or 17508 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 138226475520 in words is "one hundred thirty-eight billion, two hundred twenty-six million, four hundred seventy-five thousand, five hundred twenty".