135231696864 has 144 divisors (see below), whose sum is σ = 420084375984. Its totient is φ = 40924723200.

The previous prime is 135231696779. The next prime is 135231696871. The reversal of 135231696864 is 468696132531.

135231696864 is a `hidden beast` number, since 13 + 523 + 16 + 96 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×135231696864² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135231696864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2382802 + ... + 2438894.

It is an arithmetic number, because the mean of its divisors is an integer number (2917252611).

Almost surely, 2^135231696864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135231696864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210042187992).

135231696864 is an abundant number, since it is smaller than the sum of its proper divisors (284852679120).

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

135231696864 is a wasteful number, since it uses less digits than its factorization.

135231696864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56881 (or 56870 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 135231696864 in words is "one hundred thirty-five billion, two hundred thirty-one million, six hundred ninety-six thousand, eight hundred sixty-four".