135523333524240 has 640 divisors, whose sum is σ = 499721095802880. Its totient is φ = 33683877900288.

The previous prime is 135523333524233. The next prime is 135523333524301. The reversal of 135523333524240 is 42425333325531.

135523333524240 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 2 + 33 + 335 + 242 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 300786007 + ... + 301236233.

It is an arithmetic number, because the mean of its divisors is an integer number (780814212192).

Almost surely, 2^{135523333524240} is an apocalyptic number.

135523333524240 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 135523333524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249860547901440).

135523333524240 is an abundant number, since it is smaller than the sum of its proper divisors (364197762278640).

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

135523333524240 is a wasteful number, since it uses less digits than its factorization.

135523333524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450428 (or 450416 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 45.

Adding to 135523333524240 its reverse (42425333325531), we get a palindrome (177948666849771).

The spelling of 135523333524240 in words is "one hundred thirty-five trillion, five hundred twenty-three billion, three hundred thirty-three million, five hundred twenty-four thousand, two hundred forty".