135213320 has 128 divisors (see below), whose sum is σ = 358318080. Its totient is φ = 45408000.

The previous prime is 135213307. The next prime is 135213361. The reversal of 135213320 is 23312531.

135213320 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 135213292 and 135213301.

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, 313505 + ... + 313935.

It is an arithmetic number, because the mean of its divisors is an integer number (2799360).

Almost surely, 2^135213320 is an apocalyptic number.

135213320 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 135213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179159040).

135213320 is an abundant number, since it is smaller than the sum of its proper divisors (223104760).

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

135213320 is a wasteful number, since it uses less digits than its factorization.

135213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 135213320 is about 11628.1262463047. The cubic root of 135213320 is about 513.2628433409.

Adding to 135213320 its reverse (23312531), we get a palindrome (158525851).

The spelling of 135213320 in words is "one hundred thirty-five million, two hundred thirteen thousand, three hundred twenty".