135510320 has 60 divisors (see below), whose sum is σ = 346332000. Its totient is φ = 49272960.

The previous prime is 135510307. The next prime is 135510343. The reversal of 135510320 is 23015531.

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 = 135510292 and 135510301.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2681 + ... + 16679.

It is an arithmetic number, because the mean of its divisors is an integer number (5772200).

Almost surely, 2^135510320 is an apocalyptic number.

135510320 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 135510320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173166000).

135510320 is an abundant number, since it is smaller than the sum of its proper divisors (210821680).

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

135510320 is a wasteful number, since it uses less digits than its factorization.

135510320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14034 (or 14017 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 135510320 is about 11640.8900003393. The cubic root of 135510320 is about 513.6383674588.

Adding to 135510320 its reverse (23015531), we get a palindrome (158525851).

The spelling of 135510320 in words is "one hundred thirty-five million, five hundred ten thousand, three hundred twenty".