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135018 = 23213577
BaseRepresentation
bin100000111101101010
320212012200
4200331222
513310033
62521030
71101432
oct407552
9225180
10135018
1192494
1266176
13495c0
14372c2
152a013
hex20f6a

135018 has 24 divisors (see below), whose sum is σ = 315588. Its totient is φ = 41472.

The previous prime is 135017. The next prime is 135019. The reversal of 135018 is 810531.

It is a happy number.

135018 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135017) and next prime (135019).

It can be written as a sum of positive squares in 2 ways, for example, as 131769 + 3249 = 363^2 + 57^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135017) 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, 55 + ... + 522.

2135018 is an apocalyptic number.

135018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135018 is an abundant number, since it is smaller than the sum of its proper divisors (180570).

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

135018 is a wasteful number, since it uses less digits than its factorization.

135018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 595 counting only the distinct ones).

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

The square root of 135018 is about 367.4479554985. The cubic root of 135018 is about 51.3015582669.

Adding to 135018 its reverse (810531), we get a palindrome (945549).

The spelling of 135018 in words is "one hundred thirty-five thousand, eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 577 1154 1731 3462 5193 7501 10386 15002 22503 45006 67509 135018