135576 has 48 divisors (see below), whose sum is σ = 421200. Its totient is φ = 38592.

The previous prime is 135571. The next prime is 135581. The reversal of 135576 is 675531.

It is an interprime number because it is at equal distance from previous prime (135571) and next prime (135581).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2¹³⁵⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210600).

135576 is an abundant number, since it is smaller than the sum of its proper divisors (285624).

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

135576 is a wasteful number, since it uses less digits than its factorization.

135576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 135576 is about 368.2064638216. The cubic root of 135576 is about 51.3721338554.

It can be divided in two parts, 1355 and 76, that added together give a triangular number (1431 = T₅₃).

The spelling of 135576 in words is "one hundred thirty-five thousand, five hundred seventy-six".