138042863112 has 768 divisors, whose sum is σ = 484009344000. Its totient is φ = 32310835200.

The previous prime is 138042863047. The next prime is 138042863143. The reversal of 138042863112 is 211368240831.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 762667662 + ... + 762667842.

It is an arithmetic number, because the mean of its divisors is an integer number (630220500).

Almost surely, 2^138042863112 is an apocalyptic number.

138042863112 is a gapful number since it is divisible by the number (12) 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 138042863112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242004672000).

138042863112 is an abundant number, since it is smaller than the sum of its proper divisors (345966480888).

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

138042863112 is a wasteful number, since it uses less digits than its factorization.

138042863112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 138042863112 in words is "one hundred thirty-eight billion, forty-two million, eight hundred sixty-three thousand, one hundred twelve".