Search a number
-
+
135315135 = 3253007003
BaseRepresentation
bin10000001000010…
…11111010111111
3100102121201110200
420010023322333
5234120041020
621232134543
73232105524
oct1004137277
9312551420
10135315135
116a42229a
1239397453
1322059b37
1413d8514b
15bd2d590
hex810bebf

135315135 has 12 divisors (see below), whose sum is σ = 234546312. Its totient is φ = 72168048.

The previous prime is 135315133. The next prime is 135315139. The reversal of 135315135 is 531513531.

It is not a de Polignac number, because 135315135 - 21 = 135315133 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 135315099 and 135315108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135315133) 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, 1503457 + ... + 1503546.

It is an arithmetic number, because the mean of its divisors is an integer number (19545526).

Almost surely, 2135315135 is an apocalyptic number.

135315135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135315135 is a deficient number, since it is larger than the sum of its proper divisors (99231177).

135315135 is a wasteful number, since it uses less digits than its factorization.

135315135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007014 (or 3007011 counting only the distinct ones).

The product of its digits is 3375, while the sum is 27.

The square root of 135315135 is about 11632.5033849125. The cubic root of 135315135 is about 513.3916391953.

Adding to 135315135 its reverse (531513531), we get a palindrome (666828666).

The spelling of 135315135 in words is "one hundred thirty-five million, three hundred fifteen thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 3007003 9021009 15035015 27063027 45105045 135315135