Search a number
-
+
136583137 is a prime number
BaseRepresentation
bin10000010010000…
…01011111100001
3100112000010211201
420021001133201
5234431130022
621315241201
73245636365
oct1011013741
9315003751
10136583137
1170108a29
12398a9201
13223b2032
14141d52a5
15bece127
hex82417e1

136583137 has 2 divisors, whose sum is σ = 136583138. Its totient is φ = 136583136.

The previous prime is 136583119. The next prime is 136583159. The reversal of 136583137 is 731385631.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135862336 + 720801 = 11656^2 + 849^2 .

It is an emirp because it is prime and its reverse (731385631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 136583137 - 27 = 136583009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136583096 and 136583105.

It is not a weakly prime, because it can be changed into another prime (136583537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68291568 + 68291569.

It is an arithmetic number, because the mean of its divisors is an integer number (68291569).

Almost surely, 2136583137 is an apocalyptic number.

It is an amenable number.

136583137 is a deficient number, since it is larger than the sum of its proper divisors (1).

136583137 is an equidigital number, since it uses as much as digits as its factorization.

136583137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 37.

The square root of 136583137 is about 11686.8788391084. The cubic root of 136583137 is about 514.9902747402.

The spelling of 136583137 in words is "one hundred thirty-six million, five hundred eighty-three thousand, one hundred thirty-seven".