138383259407250 has 256 divisors, whose sum is σ = 405813452308992. Its totient is φ = 30965096448000.

The previous prime is 138383259407243. The next prime is 138383259407251. The reversal of 138383259407250 is 52704952383831.

It is not an unprimeable number, because it can be changed into a prime (138383259407251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2944739754 + ... + 2944786746.

It is an arithmetic number, because the mean of its divisors is an integer number (1585208798082).

Almost surely, 2^{138383259407250} is an apocalyptic number.

138383259407250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138383259407250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202906726154496).

138383259407250 is an abundant number, since it is smaller than the sum of its proper divisors (267430192901742).

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

138383259407250 is a wasteful number, since it uses less digits than its factorization.

138383259407250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74494 (or 74484 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 138383259407250 in words is "one hundred thirty-eight trillion, three hundred eighty-three billion, two hundred fifty-nine million, four hundred seven thousand, two hundred fifty".