135408870710784 has 240 divisors, whose sum is σ = 426459731995440. Its totient is φ = 41020155002880.

The previous prime is 135408870710783. The next prime is 135408870710833. The reversal of 135408870710784 is 487017078804531.

135408870710784 is a `hidden beast` number, since 1 + 3 + 5 + 408 + 87 + 0 + 71 + 0 + 7 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135408870710783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162241554 + ... + 163074030.

It is an arithmetic number, because the mean of its divisors is an integer number (1776915549981).

Almost surely, 2^{135408870710784} 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 135408870710784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213229865997720).

135408870710784 is an abundant number, since it is smaller than the sum of its proper divisors (291050861284656).

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

135408870710784 is a wasteful number, since it uses less digits than its factorization.

135408870710784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835721 (or 835702 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 135408870710784 in words is "one hundred thirty-five trillion, four hundred eight billion, eight hundred seventy million, seven hundred ten thousand, seven hundred eighty-four".