138084826464 has 480 divisors, whose sum is σ = 448053107040. Its totient is φ = 41461383168.

The previous prime is 138084826447. The next prime is 138084826487. The reversal of 138084826464 is 464628480831.

It is a happy number.

138084826464 is a `hidden beast` number, since 1 + 3 + 80 + 84 + 8 + 26 + 464 = 666.

138084826464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 138084826464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 271286242 + ... + 271286750.

It is an arithmetic number, because the mean of its divisors is an integer number (933443973).

Almost surely, 2^138084826464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138084826464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224026553520).

138084826464 is an abundant number, since it is smaller than the sum of its proper divisors (309968280576).

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

138084826464 is a wasteful number, since it uses less digits than its factorization.

138084826464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 138084826464 in words is "one hundred thirty-eight billion, eighty-four million, eight hundred twenty-six thousand, four hundred sixty-four".