135208872864 has 240 divisors, whose sum is σ = 442051061760. Its totient is φ = 40260395520.

The previous prime is 135208872829. The next prime is 135208872889. The reversal of 135208872864 is 468278802531.

135208872864 is a `hidden beast` number, since 1 + 352 + 0 + 8 + 8 + 7 + 286 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135208872864.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 979857 + ... + 1109295.

It is an arithmetic number, because the mean of its divisors is an integer number (1841879424).

Almost surely, 2^135208872864 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 135208872864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221025530880).

135208872864 is an abundant number, since it is smaller than the sum of its proper divisors (306842188896).

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

135208872864 is a wasteful number, since it uses less digits than its factorization.

135208872864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129505 (or 129488 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 135208872864 in words is "one hundred thirty-five billion, two hundred eight million, eight hundred seventy-two thousand, eight hundred sixty-four".