138831387912 has 192 divisors, whose sum is σ = 452939760000. Its totient is φ = 39015613440.

The previous prime is 138831387883. The next prime is 138831387941. The reversal of 138831387912 is 219783138831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138831387883) and next prime (138831387941).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746464 + ... + 913712.

It is an arithmetic number, because the mean of its divisors is an integer number (2359061250).

Almost surely, 2^138831387912 is an apocalyptic number.

138831387912 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 138831387912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226469880000).

138831387912 is an abundant number, since it is smaller than the sum of its proper divisors (314108372088).

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

138831387912 is a wasteful number, since it uses less digits than its factorization.

138831387912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167338 (or 167322 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

It can be divided in two parts, 1388313 and 87912, that added together give a square (1476225 = 1215²).

The spelling of 138831387912 in words is "one hundred thirty-eight billion, eight hundred thirty-one million, three hundred eighty-seven thousand, nine hundred twelve".