135320310 has 48 divisors (see below), whose sum is σ = 354229200. Its totient is φ = 35839680.

The previous prime is 135320291. The next prime is 135320333. The reversal of 135320310 is 13023531.

135320310 is a `hidden beast` number, since 1 + 35 + 320 + 310 = 666.

135320310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135320310² = 36623172596992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8365 + ... + 18455.

It is an arithmetic number, because the mean of its divisors is an integer number (7379775).

Almost surely, 2^135320310 is an apocalyptic number.

135320310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135320310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177114600).

135320310 is an abundant number, since it is smaller than the sum of its proper divisors (218908890).

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

135320310 is a wasteful number, since it uses less digits than its factorization.

135320310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10253 (or 10250 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135320310 is about 11632.7258198584. The cubic root of 135320310 is about 513.3981838386.

Adding to 135320310 its reverse (13023531), we get a palindrome (148343841).

The spelling of 135320310 in words is "one hundred thirty-five million, three hundred twenty thousand, three hundred ten".