135366 has 32 divisors (see below), whose sum is σ = 338688. Its totient is φ = 35040.

The previous prime is 135353. The next prime is 135367. The reversal of 135366 is 663531.

135366 = T₈₄ + T₈₅ + ... + T₁₁₁.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135367) by changing a digit.

135366 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316 + ... + 608.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

135366 is a Friedman number, since it can be written as 33*(6+(5-1)^6), using all its digits and the basic arithmetic operations.

2¹³⁵³⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

135366 is an abundant number, since it is smaller than the sum of its proper divisors (203322).

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

135366 is a wasteful number, since it uses less digits than its factorization.

135366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316.

The product of its digits is 1620, while the sum is 24.

The square root of 135366 is about 367.9211872127. The cubic root of 135366 is about 51.3455959161.

Adding to 135366 its reverse (663531), we get a palindrome (798897).

It can be divided in two parts, 1353 and 66, that multiplied together give a palindrome (89298).

The spelling of 135366 in words is "one hundred thirty-five thousand, three hundred sixty-six".