135330964973568 has 1728 divisors, whose sum is σ = 506838451392000. Its totient is φ = 35559443791872.

The previous prime is 135330964973471. The next prime is 135330964973569. The reversal of 135330964973568 is 865379469033531.

135330964973568 is a `hidden beast` number, since 1 + 3 + 53 + 3 + 0 + 9 + 6 + 4 + 9 + 7 + 3 + 568 = 666.

135330964973568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 135330964973496 and 135330964973505.

It is not an unprimeable number, because it can be changed into a prime (135330964973569) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 219337057996 + ... + 219337058612.

It is an arithmetic number, because the mean of its divisors is an integer number (293309289000).

Almost surely, 2^{135330964973568} is an apocalyptic number.

135330964973568 is a gapful number since it is divisible by the number (18) 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 135330964973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253419225696000).

135330964973568 is an abundant number, since it is smaller than the sum of its proper divisors (371507486418432).

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

135330964973568 is a wasteful number, since it uses less digits than its factorization.

135330964973568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1322697600, while the sum is 72.

The spelling of 135330964973568 in words is "one hundred thirty-five trillion, three hundred thirty billion, nine hundred sixty-four million, nine hundred seventy-three thousand, five hundred sixty-eight".