138317081760 has 1536 divisors, whose sum is σ = 600859607040. Its totient is φ = 29262643200.

The previous prime is 138317081753. The next prime is 138317081779. The reversal of 138317081760 is 67180713831.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1089110817 + ... + 1089110943.

It is an arithmetic number, because the mean of its divisors is an integer number (391184640).

Almost surely, 2^138317081760 is an apocalyptic number.

138317081760 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 138317081760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300429803520).

138317081760 is an abundant number, since it is smaller than the sum of its proper divisors (462542525280).

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

138317081760 is a wasteful number, since it uses less digits than its factorization.

138317081760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 138317081760 in words is "one hundred thirty-eight billion, three hundred seventeen million, eighty-one thousand, seven hundred sixty".