Search a number
-
+
135189 = 341669
BaseRepresentation
bin100001000000010101
320212110000
4201000111
513311224
62521513
71102065
oct410025
9225400
10135189
119262a
1266299
13496c2
14373a5
152a0c9
hex21015

135189 has 10 divisors (see below), whose sum is σ = 202070. Its totient is φ = 90072.

The previous prime is 135181. The next prime is 135193. The reversal of 135189 is 981531.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 18225 = 342^2 + 135^2 .

It is not a de Polignac number, because 135189 - 23 = 135181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 754 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (20207).

2135189 is an apocalyptic number.

It is an amenable number.

135189 is a deficient number, since it is larger than the sum of its proper divisors (66881).

135189 is an equidigital number, since it uses as much as digits as its factorization.

135189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1672 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 135189 is about 367.6805678847. The cubic root of 135189 is about 51.3232069004.

It can be divided in two parts, 135 and 189, that added together give a square (324 = 182).

The spelling of 135189 in words is "one hundred thirty-five thousand, one hundred eighty-nine".

Divisors: 1 3 9 27 81 1669 5007 15021 45063 135189