135261344 has 48 divisors (see below), whose sum is σ = 285441408. Its totient is φ = 62929152.

The previous prime is 135261331. The next prime is 135261349. The reversal of 135261344 is 443162531.

135261344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135261349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24749 + ... + 29715.

It is an arithmetic number, because the mean of its divisors is an integer number (5946696).

Almost surely, 2^135261344 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 135261344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142720704).

135261344 is an abundant number, since it is smaller than the sum of its proper divisors (150180064).

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

135261344 is a wasteful number, since it uses less digits than its factorization.

135261344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 5029 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 135261344 is about 11630.1910560403. The cubic root of 135261344 is about 513.3236016970.

The spelling of 135261344 in words is "one hundred thirty-five million, two hundred sixty-one thousand, three hundred forty-four".