135313440 has 192 divisors, whose sum is σ = 461946240. Its totient is φ = 33177600.

The previous prime is 135313429. The next prime is 135313441. The reversal of 135313440 is 44313531.

It is a happy number.

135313440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135313440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135313441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337240 + ... + 337640.

It is an arithmetic number, because the mean of its divisors is an integer number (2405970).

Almost surely, 2^135313440 is an apocalyptic number.

135313440 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 135313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230973120).

135313440 is an abundant number, since it is smaller than the sum of its proper divisors (326632800).

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

135313440 is a wasteful number, since it uses less digits than its factorization.

135313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135313440 is about 11632.4305284837. The cubic root of 135313440 is about 513.3894955512.

Adding to 135313440 its reverse (44313531), we get a palindrome (179626971).

Subtracting from 135313440 its reverse (44313531), we obtain a palindrome (90999909).

The spelling of 135313440 in words is "one hundred thirty-five million, three hundred thirteen thousand, four hundred forty".