135523504000 has 256 divisors, whose sum is σ = 358736040000. Its totient is φ = 50769100800.

The previous prime is 135523503959. The next prime is 135523504073. The reversal of 135523504000 is 405325531.

135523504000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135523504000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27053496 + ... + 27058504.

Almost surely, 2^135523504000 is an apocalyptic number.

135523504000 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 135523504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179368020000).

135523504000 is an abundant number, since it is smaller than the sum of its proper divisors (223212536000).

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

135523504000 is an equidigital number, since it uses as much as digits as its factorization.

135523504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

Adding to 135523504000 its reverse (405325531), we get a palindrome (135928829531).

The spelling of 135523504000 in words is "one hundred thirty-five billion, five hundred twenty-three million, five hundred four thousand".