135823806720 has 720 divisors, whose sum is σ = 573443447808. Its totient is φ = 30038999040.

The previous prime is 135823806707. The next prime is 135823806749. The reversal of 135823806720 is 27608328531.

135823806720 is a `hidden beast` number, since 1 + 3 + 582 + 3 + 8 + 0 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22495542 + ... + 22501578.

Almost surely, 2^135823806720 is an apocalyptic number.

135823806720 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 135823806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286721723904).

135823806720 is an abundant number, since it is smaller than the sum of its proper divisors (437619641088).

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

135823806720 is an equidigital number, since it uses as much as digits as its factorization.

135823806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6085 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 135823806720 in words is "one hundred thirty-five billion, eight hundred twenty-three million, eight hundred six thousand, seven hundred twenty".