135096374568960 has 3072 divisors, whose sum is σ = 593799646003200. Its totient is φ = 28791574364160.

The previous prime is 135096374568959. The next prime is 135096374569043. The reversal of 135096374568960 is 69865473690531.

135096374568960 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 9 + 6 + 37 + 456 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 434393487205 + ... + 434393487515.

It is an arithmetic number, because the mean of its divisors is an integer number (193294155600).

Almost surely, 2^{135096374568960} is an apocalyptic number.

135096374568960 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 135096374568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296899823001600).

135096374568960 is an abundant number, since it is smaller than the sum of its proper divisors (458703271434240).

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

135096374568960 is an equidigital number, since it uses as much as digits as its factorization.

135096374568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 135096374568960 in words is "one hundred thirty-five trillion, ninety-six billion, three hundred seventy-four million, five hundred sixty-eight thousand, nine hundred sixty".