Search a number
-
+
135634109 = 13174114969
BaseRepresentation
bin10000001010110…
…01110010111101
3100110012221000112
420011121302331
5234210242414
621243035405
73234604502
oct1005316275
9313187015
10135634109
116a61aa06
123950bb65
132213c090
14140294a9
15bd92d3e
hex8159cbd

135634109 has 16 divisors (see below), whose sum is σ = 158442480. Its totient is φ = 114954240.

The previous prime is 135634091. The next prime is 135634123. The reversal of 135634109 is 901436531.

135634109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 56957209 + 78676900 = 7547^2 + 8870^2 .

It is a cyclic number.

It is not a de Polignac number, because 135634109 - 28 = 135633853 is a prime.

It is a super-2 number, since 2×1356341092 = 36793223048447762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135634139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577 + ... + 16545.

It is an arithmetic number, because the mean of its divisors is an integer number (9902655).

Almost surely, 2135634109 is an apocalyptic number.

It is an amenable number.

135634109 is a deficient number, since it is larger than the sum of its proper divisors (22808371).

135634109 is a wasteful number, since it uses less digits than its factorization.

135634109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15040.

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 135634109 is about 11646.2057769902. The cubic root of 135634109 is about 513.7947231487.

The spelling of 135634109 in words is "one hundred thirty-five million, six hundred thirty-four thousand, one hundred nine".

Divisors: 1 13 17 41 221 533 697 9061 14969 194597 254473 613729 3308149 7978477 10433393 135634109