138900082464 has 576 divisors, whose sum is σ = 505402934400. Its totient is φ = 35533209600.

The previous prime is 138900082439. The next prime is 138900082523. The reversal of 138900082464 is 464280009831.

It is a happy number.

It is a super-2 number, since 2×138900082464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22689324 + ... + 22695444.

It is an arithmetic number, because the mean of its divisors is an integer number (877435650).

Almost surely, 2^138900082464 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 138900082464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252701467200).

138900082464 is an abundant number, since it is smaller than the sum of its proper divisors (366502851936).

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

138900082464 is a wasteful number, since it uses less digits than its factorization.

138900082464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 138900082464 in words is "one hundred thirty-eight billion, nine hundred million, eighty-two thousand, four hundred sixty-four".