135441 has 12 divisors (see below), whose sum is σ = 198900. Its totient is φ = 88800.

The previous prime is 135433. The next prime is 135449. The reversal of 135441 is 144531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135433) and next prime (135449).

It can be written as a sum of positive squares in 2 ways, for example, as 77841 + 57600 = 279^2 + 240^2 .

It is not a de Polignac number, because 135441 - 2³ = 135433 is a prime.

135441 is a lucky number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135441.

It is not an unprimeable number, because it can be changed into a prime (135449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 835 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (16575).

2¹³⁵⁴⁴¹ is an apocalyptic number.

It is an amenable number.

135441 is a deficient number, since it is larger than the sum of its proper divisors (63459).

135441 is a wasteful number, since it uses less digits than its factorization.

135441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 135441 is about 368.0230971013. The cubic root of 135441 is about 51.3550769002.

Adding to 135441 its reverse (144531), we get a palindrome (279972).

It can be divided in two parts, 135 and 441, that added together give a square (576 = 24²).

The spelling of 135441 in words is "one hundred thirty-five thousand, four hundred forty-one".