Search a number
-
+
135768181 is a prime number
BaseRepresentation
bin10000001011110…
…10100001110101
3100110110201221011
420011322201311
5234224040211
621245552221
73236003413
oct1005724165
9313421834
10135768181
116a70170a
1239575671
1322188103
14140622b3
15bdbc921
hex817a875

135768181 has 2 divisors, whose sum is σ = 135768182. Its totient is φ = 135768180.

The previous prime is 135768173. The next prime is 135768209. The reversal of 135768181 is 181867531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77000625 + 58767556 = 8775^2 + 7666^2 .

It is a cyclic number.

It is not a de Polignac number, because 135768181 - 23 = 135768173 is a prime.

It is a super-2 number, since 2×1357681812 = 36865997944097522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135718181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67884090 + 67884091.

It is an arithmetic number, because the mean of its divisors is an integer number (67884091).

Almost surely, 2135768181 is an apocalyptic number.

It is an amenable number.

135768181 is a deficient number, since it is larger than the sum of its proper divisors (1).

135768181 is an equidigital number, since it uses as much as digits as its factorization.

135768181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 40.

The square root of 135768181 is about 11651.9603929983. The cubic root of 135768181 is about 513.9639598343.

The spelling of 135768181 in words is "one hundred thirty-five million, seven hundred sixty-eight thousand, one hundred eighty-one".