138265763328 has 720 divisors, whose sum is σ = 510860338560. Its totient is φ = 35597721600.

The previous prime is 138265763327. The next prime is 138265763387. The reversal of 138265763328 is 823367562831.

It is a happy number.

138265763328 is a `hidden beast` number, since 1 + 38 + 2 + 6 + 576 + 3 + 32 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138265763323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 444584293 + ... + 444584603.

It is an arithmetic number, because the mean of its divisors is an integer number (709528248).

Almost surely, 2^138265763328 is an apocalyptic number.

138265763328 is a gapful number since it is divisible by the number (18) 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 138265763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255430169280).

138265763328 is an abundant number, since it is smaller than the sum of its proper divisors (372594575232).

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

138265763328 is a wasteful number, since it uses less digits than its factorization.

138265763328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 513 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 138265763328 in words is "one hundred thirty-eight billion, two hundred sixty-five million, seven hundred sixty-three thousand, three hundred twenty-eight".