138501135360 has 1584 divisors, whose sum is σ = 618839869440. Its totient is φ = 29023764480.

The previous prime is 138501135317. The next prime is 138501135401. The reversal of 138501135360 is 63531105831.

138501135360 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 0 + 113 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4467778545 + ... + 4467778575.

Almost surely, 2^138501135360 is an apocalyptic number.

138501135360 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 138501135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309419934720).

138501135360 is an abundant number, since it is smaller than the sum of its proper divisors (480338734080).

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

138501135360 is an frugal number, since it uses more digits than its factorization.

138501135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 138501135360 in words is "one hundred thirty-eight billion, five hundred one million, one hundred thirty-five thousand, three hundred sixty".