138519635760 has 400 divisors, whose sum is σ = 527607257760. Its totient is φ = 33403207680.

The previous prime is 138519635759. The next prime is 138519635767. The reversal of 138519635760 is 67536915831.

138519635760 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 1 + 9 + 63 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138519635697 and 138519635706.

It is not an unprimeable number, because it can be changed into a prime (138519635767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13752006 + ... + 13762074.

Almost surely, 2^138519635760 is an apocalyptic number.

138519635760 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 138519635760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263803628880).

138519635760 is an abundant number, since it is smaller than the sum of its proper divisors (389087622000).

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

138519635760 is a wasteful number, since it uses less digits than its factorization.

138519635760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10298 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 138519635760 in words is "one hundred thirty-eight billion, five hundred nineteen million, six hundred thirty-five thousand, seven hundred sixty".