138271124784 has 180 divisors, whose sum is σ = 399693121128. Its totient is φ = 41170222080.

The previous prime is 138271124773. The next prime is 138271124857. The reversal of 138271124784 is 487421172831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7786764 + ... + 7804500.

Almost surely, 2^138271124784 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 138271124784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199846560564).

138271124784 is an abundant number, since it is smaller than the sum of its proper divisors (261421996344).

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

138271124784 is a wasteful number, since it uses less digits than its factorization.

138271124784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17836 (or 17786 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The spelling of 138271124784 in words is "one hundred thirty-eight billion, two hundred seventy-one million, one hundred twenty-four thousand, seven hundred eighty-four".