138811442000 has 240 divisors, whose sum is σ = 421643179776. Its totient is φ = 43265376000.

The previous prime is 138811441991. The next prime is 138811442017. The reversal of 138811442000 is 244118831.

It is a happy number.

138811442000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1653029 + ... + 1734971.

Almost surely, 2^138811442000 is an apocalyptic number.

138811442000 is a gapful number since it is divisible by the number (10) 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 138811442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210821589888).

138811442000 is an abundant number, since it is smaller than the sum of its proper divisors (282831737776).

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

138811442000 is a wasteful number, since it uses less digits than its factorization.

138811442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81995 (or 81968 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 138811442000 in words is "one hundred thirty-eight billion, eight hundred eleven million, four hundred forty-two thousand".