135910320 has 320 divisors, whose sum is σ = 533299200. Its totient is φ = 28449792.

The previous prime is 135910319. The next prime is 135910321. The reversal of 135910320 is 23019531.

It is a happy number.

135910320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135910319) and next prime (135910321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135910321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1070097 + ... + 1070223.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 2^135910320 is an apocalyptic number.

135910320 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 135910320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266649600).

135910320 is an abundant number, since it is smaller than the sum of its proper divisors (397388880).

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

135910320 is a wasteful number, since it uses less digits than its factorization.

135910320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 135910320 is about 11658.0581573434. The cubic root of 135910320 is about 514.1432577215.

Adding to 135910320 its reverse (23019531), we get a palindrome (158929851).

The spelling of 135910320 in words is "one hundred thirty-five million, nine hundred ten thousand, three hundred twenty".