138373019712 has 112 divisors (see below), whose sum is σ = 406908000000. Its totient is φ = 46111080960.

The previous prime is 138373019689. The next prime is 138373019713. The reversal of 138373019712 is 217910373831.

138373019712 is a `hidden beast` number, since 1 + 383 + 73 + 0 + 197 + 12 = 666.

It is a super-4 number, since 4×138373019712⁴ (a number of 46 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (138373019713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7370914 + ... + 7389662.

Almost surely, 2^138373019712 is an apocalyptic number.

138373019712 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 138373019712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203454000000).

138373019712 is an abundant number, since it is smaller than the sum of its proper divisors (268534980288).

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

138373019712 is a wasteful number, since it uses less digits than its factorization.

138373019712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23041 (or 23025 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 138373019712 in words is "one hundred thirty-eight billion, three hundred seventy-three million, nineteen thousand, seven hundred twelve".