138336000000 has 672 divisors, whose sum is σ = 506749763520. Its totient is φ = 33280000000.

The previous prime is 138335999993. The next prime is 138336000091. The reversal of 138336000000 is 633831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1055999935 + ... + 1056000065.

It is an arithmetic number, because the mean of its divisors is an integer number (754091910).

Almost surely, 2^138336000000 is an apocalyptic number.

138336000000 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 138336000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253374881760).

138336000000 is an abundant number, since it is smaller than the sum of its proper divisors (368413763520).

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

138336000000 is an frugal number, since it uses more digits than its factorization.

138336000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 138336000000 its reverse (633831), we get a palindrome (138336633831).

The spelling of 138336000000 in words is "one hundred thirty-eight billion, three hundred thirty-six million", and thus it is an aban number.