135264455424 has 432 divisors, whose sum is σ = 473765580288. Its totient is φ = 36232593408.

The previous prime is 135264455369. The next prime is 135264455449. The reversal of 135264455424 is 424554462531.

It is a happy number.

135264455424 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 64 + 45 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135264455424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84171229 + ... + 84172835.

It is an arithmetic number, because the mean of its divisors is an integer number (1096679584).

Almost surely, 2^135264455424 is an apocalyptic number.

135264455424 is a gapful number since it is divisible by the number (14) 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 135264455424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236882790144).

135264455424 is an abundant number, since it is smaller than the sum of its proper divisors (338501124864).

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

135264455424 is a wasteful number, since it uses less digits than its factorization.

135264455424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1943 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The spelling of 135264455424 in words is "one hundred thirty-five billion, two hundred sixty-four million, four hundred fifty-five thousand, four hundred twenty-four".