135441312 has 96 divisors (see below), whose sum is σ = 386793792. Its totient is φ = 41324544.

The previous prime is 135441283. The next prime is 135441323. The reversal of 135441312 is 213144531.

It is a happy number.

135441312 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 (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59263 + ... + 61505.

It is an arithmetic number, because the mean of its divisors is an integer number (4029102).

Almost surely, 2^135441312 is an apocalyptic number.

135441312 is a gapful number since it is divisible by the number (12) 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 135441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193396896).

135441312 is an abundant number, since it is smaller than the sum of its proper divisors (251352480).

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

135441312 is a wasteful number, since it uses less digits than its factorization.

135441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2302 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 135441312 is about 11637.9255883512. The cubic root of 135441312 is about 513.5511633381.

Adding to 135441312 its reverse (213144531), we get a palindrome (348585843).

The spelling of 135441312 in words is "one hundred thirty-five million, four hundred forty-one thousand, three hundred twelve".