135305144520 has 256 divisors, whose sum is σ = 509785920000. Its totient is φ = 28547785728.

The previous prime is 135305144483. The next prime is 135305144537. The reversal of 135305144520 is 25441503531.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408646 + ... + 661514.

It is an arithmetic number, because the mean of its divisors is an integer number (1991351250).

Almost surely, 2^135305144520 is an apocalyptic number.

135305144520 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 135305144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254892960000).

135305144520 is an abundant number, since it is smaller than the sum of its proper divisors (374480775480).

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

135305144520 is a wasteful number, since it uses less digits than its factorization.

135305144520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252917 (or 252899 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 135305144520 in words is "one hundred thirty-five billion, three hundred five million, one hundred forty-four thousand, five hundred twenty".