135323440 has 80 divisors (see below), whose sum is σ = 361976832. Its totient is φ = 46086912.

The previous prime is 135323429. The next prime is 135323443. The reversal of 135323440 is 44323531.

135323440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (135323443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 92797 + ... + 94243.

Almost surely, 2^135323440 is an apocalyptic number.

135323440 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 135323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180988416).

135323440 is an abundant number, since it is smaller than the sum of its proper divisors (226653392).

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

135323440 is a wasteful number, since it uses less digits than its factorization.

135323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 135323440 is about 11632.8603533267. The cubic root of 135323440 is about 513.4021421602.

Adding to 135323440 its reverse (44323531), we get a palindrome (179646971).

Subtracting from 135323440 its reverse (44323531), we obtain a palindrome (90999909).

The spelling of 135323440 in words is "one hundred thirty-five million, three hundred twenty-three thousand, four hundred forty".