135324144 has 60 divisors (see below), whose sum is σ = 383011200. Its totient is φ = 44596992.

The previous prime is 135324127. The next prime is 135324187. The reversal of 135324144 is 441423531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7537 + ... + 18095.

It is an arithmetic number, because the mean of its divisors is an integer number (6383520).

Almost surely, 2^135324144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191505600).

135324144 is an abundant number, since it is smaller than the sum of its proper divisors (247687056).

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

135324144 is a wasteful number, since it uses less digits than its factorization.

135324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10662 (or 10653 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 135324144 is about 11632.8906123972. The cubic root of 135324144 is about 513.4030324580.

Adding to 135324144 its reverse (441423531), we get a palindrome (576747675).

The spelling of 135324144 in words is "one hundred thirty-five million, three hundred twenty-four thousand, one hundred forty-four".