138585456568 has 64 divisors (see below), whose sum is σ = 283367548800. Its totient is φ = 63156190080.

The previous prime is 138585456557. The next prime is 138585456571. The reversal of 138585456568 is 865654585831.

It is a super-2 number, since 2×138585456568² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20808423 + ... + 20815081.

It is an arithmetic number, because the mean of its divisors is an integer number (4427617950).

Almost surely, 2^138585456568 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 138585456568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141683774400).

138585456568 is an abundant number, since it is smaller than the sum of its proper divisors (144782092232).

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

138585456568 is a wasteful number, since it uses less digits than its factorization.

138585456568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9172 (or 9168 counting only the distinct ones).

The product of its digits is 138240000, while the sum is 64.

The spelling of 138585456568 in words is "one hundred thirty-eight billion, five hundred eighty-five million, four hundred fifty-six thousand, five hundred sixty-eight".