135545584356 has 960 divisors, whose sum is σ = 498878392320. Its totient is φ = 31039303680.

The previous prime is 135545584351. The next prime is 135545584357. The reversal of 135545584356 is 653485545531.

135545584356 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 4 + 5 + 584 + 3 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135545584351) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 409503111 + ... + 409503441.

It is an arithmetic number, because the mean of its divisors is an integer number (519664992).

Almost surely, 2^135545584356 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 135545584356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249439196160).

135545584356 is an abundant number, since it is smaller than the sum of its proper divisors (363332807964).

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

135545584356 is a wasteful number, since it uses less digits than its factorization.

135545584356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its digits is 21600000, while the sum is 54.

The spelling of 135545584356 in words is "one hundred thirty-five billion, five hundred forty-five million, five hundred eighty-four thousand, three hundred fifty-six".