135444144 has 80 divisors (see below), whose sum is σ = 387189504. Its totient is φ = 40454400.

The previous prime is 135444139. The next prime is 135444167. The reversal of 135444144 is 441444531.

135444144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135444144² = 36690232287785472, which contains 22 as substring.

It is an unprimeable number.

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, 35682 + ... + 39294.

Almost surely, 2^135444144 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 135444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193594752).

135444144 is an abundant number, since it is smaller than the sum of its proper divisors (251745360).

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

135444144 is a wasteful number, since it uses less digits than its factorization.

135444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3700 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 135444144 is about 11638.0472588833. The cubic root of 135444144 is about 513.5547426664.

Adding to 135444144 its reverse (441444531), we get a palindrome (576888675).

The spelling of 135444144 in words is "one hundred thirty-five million, four hundred forty-four thousand, one hundred forty-four".