135534 has 24 divisors (see below), whose sum is σ = 316008. Its totient is φ = 38640.

The previous prime is 135533. The next prime is 135559. The reversal of 135534 is 435531.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135533) 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, 64 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (13167).

2¹³⁵⁵³⁴ is an apocalyptic number.

135534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158004).

135534 is an abundant number, since it is smaller than the sum of its proper divisors (180474).

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

135534 is a wasteful number, since it uses less digits than its factorization.

135534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 135534 is about 368.1494261845. The cubic root of 135534 is about 51.3668284610.

The spelling of 135534 in words is "one hundred thirty-five thousand, five hundred thirty-four".