138344037843000 has 512 divisors, whose sum is σ = 498762854553600. Its totient is φ = 31552994304000.

The previous prime is 138344037842981. The next prime is 138344037843013. The reversal of 138344037843000 is 348730443831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1501750941 + ... + 1501843059.

It is an arithmetic number, because the mean of its divisors is an integer number (974146200300).

Almost surely, 2^{138344037843000} is an apocalyptic number.

138344037843000 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 138344037843000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249381427276800).

138344037843000 is an abundant number, since it is smaller than the sum of its proper divisors (360418816710600).

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

138344037843000 is a wasteful number, since it uses less digits than its factorization.

138344037843000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94848 (or 94834 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 138344037843000 in words is "one hundred thirty-eight trillion, three hundred forty-four billion, thirty-seven million, eight hundred forty-three thousand".