135523720584 has 192 divisors, whose sum is σ = 429848640000. Its totient is φ = 38557370880.

The previous prime is 135523720529. The next prime is 135523720589. The reversal of 135523720584 is 485027325531.

135523720584 is a `hidden beast` number, since 1 + 3 + 5 + 523 + 72 + 0 + 58 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (135523720589) 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 47 ways as a sum of consecutive naturals, for example, 5890864 + ... + 5913824.

It is an arithmetic number, because the mean of its divisors is an integer number (2238795000).

Almost surely, 2^135523720584 is an apocalyptic number.

135523720584 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 135523720584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214924320000).

135523720584 is an abundant number, since it is smaller than the sum of its proper divisors (294324919416).

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

135523720584 is a wasteful number, since it uses less digits than its factorization.

135523720584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23233 (or 23212 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 135523720584 in words is "one hundred thirty-five billion, five hundred twenty-three million, seven hundred twenty thousand, five hundred eighty-four".