• 135 can be written using four 4's:
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135 is the least 
> 1 such that
= pod() ⋅ sod(),
) and sod() denote the product and the
sum of the digits of , respectively.
135 has 8 divisors (see below), whose sum is σ = 240. Its totient is φ = 72.
The previous prime is 131. The next prime is 137. The reversal of 135 is 531.
Added to its reverse (531) it gives a triangular number (666 = T36).
135 is nontrivially palindromic in base 6, base 7 and base 14.
135 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
135 is an esthetic number in base 6 and base 16, because in such bases its adjacent digits differ by 1.
It is not a de Polignac number, because 135 - 22 = 131 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a d-powerful number, because it can be written as 1 + 32 + 53 .
It is one of the 548 Lynch-Bell numbers.
135 is an undulating number in base 6 and base 7.
135 is strictly pandigital in base 4.
It is a partition number, being equal to the number of ways a set of 14 identical objects can be partitioned into subset.
135 is a lucky number.
135 is a nontrivial repdigit in base 14.
It is a straight-line number, since its digits are in arithmetic progression.
It is a plaindrome in base 10, base 11 and base 14.
It is a nialpdrome in base 12, base 13, base 14, base 15 and base 16.
It is a zygodrome in base 14.
It is a congruent number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 29.
It is an arithmetic number, because the mean of its divisors is an integer number (30).
135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
135 is a deficient number, since it is larger than the sum of its proper divisors (105).
135 is an equidigital number, since it uses as much as digits as its factorization.
135 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14 (or 8 counting only the distinct ones).
The product of its digits is 15, while the sum is 9.
The square root of 135 is about 11.6189500386. The cubic root of 135 is about 5.1299278400.
Subtracting from 135 its product of digits (15), we obtain a triangular number (120 = T15).
Multiplying 135 by its product of digits (15), we get a square (2025 = 452).
Adding to 135 its reverse (531), we get a palindrome (666).
It can be divided in two parts, 1 and 35, that added together give a triangular number (36 = T8).
The spelling of 135 in words is "one hundred thirty-five", and thus it is an aban number.
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