138095591760 has 960 divisors, whose sum is σ = 580282859520. Its totient is φ = 28730142720.

The previous prime is 138095591729. The next prime is 138095591761. The reversal of 138095591760 is 67195590831.

138095591760 is a `hidden beast` number, since 1 + 3 + 80 + 9 + 559 + 1 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138095591697 and 138095591706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138095591761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 274543669 + ... + 274544171.

It is an arithmetic number, because the mean of its divisors is an integer number (604461312).

Almost surely, 2^138095591760 is an apocalyptic number.

138095591760 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 138095591760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290141429760).

138095591760 is an abundant number, since it is smaller than the sum of its proper divisors (442187267760).

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

138095591760 is a wasteful number, since it uses less digits than its factorization.

138095591760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 138095591760 in words is "one hundred thirty-eight billion, ninety-five million, five hundred ninety-one thousand, seven hundred sixty".