135267 has 8 divisors (see below), whose sum is σ = 196800. Its totient is φ = 81960.

The previous prime is 135257. The next prime is 135271. The reversal of 135267 is 762531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 135267 - 2¹⁰ = 134243 is a prime.

It is a super-4 number, since 4×135267⁴ (a number of 22 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (135257) 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, 2017 + ... + 2082.

It is an arithmetic number, because the mean of its divisors is an integer number (24600).

2¹³⁵²⁶⁷ is an apocalyptic number.

135267 is a deficient number, since it is larger than the sum of its proper divisors (61533).

135267 is a wasteful number, since it uses less digits than its factorization.

135267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113.

The product of its digits is 1260, while the sum is 24.

The square root of 135267 is about 367.7866229215. The cubic root of 135267 is about 51.3330756532. Note that the first 3 decimals are identical.

Adding to 135267 its reverse (762531), we get a palindrome (897798).

Subtracting 135267 from its reverse (762531), we obtain a square (627264 = 792²).

The spelling of 135267 in words is "one hundred thirty-five thousand, two hundred sixty-seven".