135200844864 has 168 divisors, whose sum is σ = 393357274752. Its totient is φ = 44390799360.

The previous prime is 135200844859. The next prime is 135200844899. The reversal of 135200844864 is 468448002531.

135200844864 is a `hidden beast` number, since 1 + 3 + 520 + 0 + 8 + 44 + 86 + 4 = 666.

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, 41331549 + ... + 41334819.

Almost surely, 2^135200844864 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 135200844864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196678637376).

135200844864 is an abundant number, since it is smaller than the sum of its proper divisors (258156429888).

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

135200844864 is a wasteful number, since it uses less digits than its factorization.

135200844864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 135200844864 in words is "one hundred thirty-five billion, two hundred million, eight hundred forty-four thousand, eight hundred sixty-four".