135981711360 has 1080 divisors, whose sum is σ = 557210961216. Its totient is φ = 31531991040.

The previous prime is 135981711329. The next prime is 135981711367. The reversal of 135981711360 is 63117189531.

135981711360 is a `hidden beast` number, since 1 + 3 + 598 + 17 + 11 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (135981711367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5912248309 + ... + 5912248331.

Almost surely, 2^135981711360 is an apocalyptic number.

135981711360 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 135981711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278605480608).

135981711360 is an abundant number, since it is smaller than the sum of its proper divisors (421229249856).

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

135981711360 is an frugal number, since it uses more digits than its factorization.

135981711360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

It can be divided in two parts, 13598171 and 1360, that added together give a palindrome (13599531).

The spelling of 135981711360 in words is "one hundred thirty-five billion, nine hundred eighty-one million, seven hundred eleven thousand, three hundred sixty".