135810 has 32 divisors (see below), whose sum is σ = 362880. Its totient is φ = 36144.

The previous prime is 135799. The next prime is 135829. The reversal of 135810 is 18531.

It is a happy number.

It is a super-2 number, since 2×135810² = 36888712200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

135810 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹³⁵⁸¹⁰ is an apocalyptic number.

135810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

135810 is an abundant number, since it is smaller than the sum of its proper divisors (227070).

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

135810 is a wasteful number, since it uses less digits than its factorization.

135810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 135810 is about 368.5240833378. The cubic root of 135810 is about 51.4016724413.

The spelling of 135810 in words is "one hundred thirty-five thousand, eight hundred ten".