138133316202112 has 256 divisors, whose sum is σ = 347032553472000. Its totient is φ = 53200174325760.

The previous prime is 138133316202083. The next prime is 138133316202113. The reversal of 138133316202112 is 211202613331831.

It is not an unprimeable number, because it can be changed into a prime (138133316202113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3963977073 + ... + 3964011919.

It is an arithmetic number, because the mean of its divisors is an integer number (1355595912000).

Almost surely, 2^{138133316202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138133316202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173516276736000).

138133316202112 is an abundant number, since it is smaller than the sum of its proper divisors (208899237269888).

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

138133316202112 is a wasteful number, since it uses less digits than its factorization.

138133316202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39487 (or 39475 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

Adding to 138133316202112 its reverse (211202613331831), we get a palindrome (349335929533943).

The spelling of 138133316202112 in words is "one hundred thirty-eight trillion, one hundred thirty-three billion, three hundred sixteen million, two hundred two thousand, one hundred twelve".