135589359360 has 576 divisors, whose sum is σ = 547427284992. Its totient is φ = 27832025088.

The previous prime is 135589359319. The next prime is 135589359371. The reversal of 135589359360 is 63953985531.

It is a happy number.

135589359360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135589359360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12924037 + ... + 12934523.

It is an arithmetic number, because the mean of its divisors is an integer number (950394592).

Almost surely, 2^135589359360 is an apocalyptic number.

135589359360 is a gapful number since it is divisible by the number (10) 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 135589359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273713642496).

135589359360 is an abundant number, since it is smaller than the sum of its proper divisors (411837925632).

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

135589359360 is a wasteful number, since it uses less digits than its factorization.

135589359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10568 (or 10554 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 57.

The spelling of 135589359360 in words is "one hundred thirty-five billion, five hundred eighty-nine million, three hundred fifty-nine thousand, three hundred sixty".