135510 has 16 divisors (see below), whose sum is σ = 325296. Its totient is φ = 36128.

The previous prime is 135497. The next prime is 135511. The reversal of 135510 is 15531.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135510.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2229 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (20331).

2¹³⁵⁵¹⁰ is an apocalyptic number.

135510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135510 is an abundant number, since it is smaller than the sum of its proper divisors (189786).

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

135510 is a wasteful number, since it uses less digits than its factorization.

135510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 135510 is about 368.1168292811. The cubic root of 135510 is about 51.3637963149.

It can be divided in two parts, 1 and 35510, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 135510 in words is "one hundred thirty-five thousand, five hundred ten".