135156 has 24 divisors (see below), whose sum is σ = 360640. Its totient is φ = 38592.

The previous prime is 135151. The next prime is 135173. The reversal of 135156 is 651531.

135156 = T₁₉₃ + T₁₉₄ + ... + T₁₉₉.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135151) by changing a digit.

135156 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 7 ways as a sum of consecutive naturals, for example, 721 + ... + 888.

2¹³⁵¹⁵⁶ is an apocalyptic number.

It is an amenable number.

135156 is an abundant number, since it is smaller than the sum of its proper divisors (225484).

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

135156 is a wasteful number, since it uses less digits than its factorization.

135156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1621 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 135156 is about 367.6356892360. The cubic root of 135156 is about 51.3190305161.

Adding to 135156 its reverse (651531), we get a palindrome (786687).

The spelling of 135156 in words is "one hundred thirty-five thousand, one hundred fifty-six".