135558 has 24 divisors (see below), whose sum is σ = 311688. Its totient is φ = 42432.

The previous prime is 135533. The next prime is 135559. The reversal of 135558 is 855531.

It is a super-3 number, since 3×135558³ = 7473029778483336, which contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135559) 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, 85 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (12987).

2¹³⁵⁵⁵⁸ is an apocalyptic number.

135558 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155844).

135558 is an abundant number, since it is smaller than the sum of its proper divisors (176130).

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

135558 is a wasteful number, since it uses less digits than its factorization.

135558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 135558 is about 368.1820202020. The cubic root of 135558 is about 51.3698602491.

Subtracting from 135558 its sum of digits (27), we obtain a palindrome (135531).

The spelling of 135558 in words is "one hundred thirty-five thousand, five hundred fifty-eight".