135135 has 64 divisors (see below), whose sum is σ = 322560. Its totient is φ = 51840.

The previous prime is 135131. The next prime is 135151. The reversal of 135135 is 531531.

Adding to 135135 its reverse (531531), we get a palindrome (666666).

It is a happy number.

It is a double factorial (135135 = 13 !! = 1 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 9 ⋅ 11 ⋅ 13 ).

It is not a de Polignac number, because 135135 - 2^{2} = 135131 is a prime.

It is a super-2 number, since 2×135135^{2} = 36522936450, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (225) is a multiple of the sum of its prime factors (45).

135135 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10389 + ... + 10401.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2^{135135} is an apocalyptic number.

135135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135135 is an abundant number, since it is smaller than the sum of its proper divisors (187425).

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

135135 is a wasteful number, since it uses less digits than its factorization.

135135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 39 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 135135 is about 367.6071272432. The cubic root of 135135 is about 51.3163724630.

The spelling of 135135 in words is "one hundred thirty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 11 13 15 21 27 33 35 39 45 55 63 65 77 91 99 105 117 135 143 165 189 195 231 273 297 315 351 385 429 455 495 585 693 715 819 945 1001 1155 1287 1365 1485 1755 2079 2145 2457 3003 3465 3861 4095 5005 6435 9009 10395 12285 15015 19305 27027 45045 135135

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