138104397312 has 240 divisors, whose sum is σ = 433423330560. Its totient is φ = 38957248512.

The previous prime is 138104397259. The next prime is 138104397317. The reversal of 138104397312 is 213793401831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138104397317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5934243 + ... + 5957469.

It is an arithmetic number, because the mean of its divisors is an integer number (1805930544).

Almost surely, 2^138104397312 is an apocalyptic number.

138104397312 is a gapful number since it is divisible by the number (12) 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 138104397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216711665280).

138104397312 is an abundant number, since it is smaller than the sum of its proper divisors (295318933248).

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

138104397312 is an equidigital number, since it uses as much as digits as its factorization.

138104397312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23341 (or 23318 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 138104397312 in words is "one hundred thirty-eight billion, one hundred four million, three hundred ninety-seven thousand, three hundred twelve".