138734239200 has 288 divisors, whose sum is σ = 479308759776. Its totient is φ = 34734735360.

The previous prime is 138734239169. The next prime is 138734239211. The reversal of 138734239200 is 2932437831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17662474 + ... + 17670326.

It is an arithmetic number, because the mean of its divisors is an integer number (1664266527).

Almost surely, 2^138734239200 is an apocalyptic number.

138734239200 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 138734239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239654379888).

138734239200 is an abundant number, since it is smaller than the sum of its proper divisors (340574520576).

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

138734239200 is a wasteful number, since it uses less digits than its factorization.

138734239200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8313 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 138734239200 in words is "one hundred thirty-eight billion, seven hundred thirty-four million, two hundred thirty-nine thousand, two hundred".