135320601120 has 192 divisors, whose sum is σ = 452245006080. Its totient is φ = 33894268928.

The previous prime is 135320601083. The next prime is 135320601161. The reversal of 135320601120 is 21106023531.

135320601120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4087996 + ... + 4120964.

It is an arithmetic number, because the mean of its divisors is an integer number (2355442740).

Almost surely, 2^135320601120 is an apocalyptic number.

135320601120 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 135320601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226122503040).

135320601120 is an abundant number, since it is smaller than the sum of its proper divisors (316924404960).

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

135320601120 is a wasteful number, since it uses less digits than its factorization.

135320601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33507 (or 33499 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 135320601120 its reverse (21106023531), we get a palindrome (156426624651).

The spelling of 135320601120 in words is "one hundred thirty-five billion, three hundred twenty million, six hundred one thousand, one hundred twenty".