135261 has 24 divisors (see below), whose sum is σ = 237120. Its totient is φ = 72576.

The previous prime is 135257. The next prime is 135271. The reversal of 135261 is 162531.

It is not a de Polignac number, because 135261 - 2² = 135257 is a prime.

135261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1141 + ... + 1253.

It is an arithmetic number, because the mean of its divisors is an integer number (9880).

2¹³⁵²⁶¹ is an apocalyptic number.

It is an amenable number.

135261 is a deficient number, since it is larger than the sum of its proper divisors (101859).

135261 is a wasteful number, since it uses less digits than its factorization.

135261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 142 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 135261 is about 367.7784659275. The cubic root of 135261 is about 51.3323166531.

Adding to 135261 its reverse (162531), we get a palindrome (297792).

The spelling of 135261 in words is "one hundred thirty-five thousand, two hundred sixty-one".