135504144 has 80 divisors (see below), whose sum is σ = 411848640. Its totient is φ = 42508800.

The previous prime is 135504091. The next prime is 135504151. The reversal of 135504144 is 441405531.

It is a happy number.

135504144 is a `hidden beast` number, since 13 + 5 + 504 + 144 = 666.

It is a super-2 number, since 2×135504144² = 36722746082345472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1882 + ... + 16569.

It is an arithmetic number, because the mean of its divisors is an integer number (5148108).

Almost surely, 2^135504144 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 135504144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205924320).

135504144 is an abundant number, since it is smaller than the sum of its proper divisors (276344496).

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

135504144 is a wasteful number, since it uses less digits than its factorization.

135504144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18485 (or 18473 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 135504144 is about 11640.6247255034. The cubic root of 135504144 is about 513.6305641694.

Adding to 135504144 its reverse (441405531), we get a palindrome (576909675).

The spelling of 135504144 in words is "one hundred thirty-five million, five hundred four thousand, one hundred forty-four".