135313320 has 64 divisors (see below), whose sum is σ = 407373120. Its totient is φ = 35956224.

The previous prime is 135313313. The next prime is 135313349. The reversal of 135313320 is 23313531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35004 + ... + 38676.

It is an arithmetic number, because the mean of its divisors is an integer number (6365205).

Almost surely, 2^135313320 is an apocalyptic number.

135313320 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 135313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203686560).

135313320 is an abundant number, since it is smaller than the sum of its proper divisors (272059800).

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

135313320 is a wasteful number, since it uses less digits than its factorization.

135313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 135313320 is about 11632.4253704892. The cubic root of 135313320 is about 513.3893437881.

Adding to 135313320 its reverse (23313531), we get a palindrome (158626851).

The spelling of 135313320 in words is "one hundred thirty-five million, three hundred thirteen thousand, three hundred twenty".