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136309 is a prime number
BaseRepresentation
bin100001010001110101
320220222111
4201101311
513330214
62531021
71105255
oct412165
9226874
10136309
1193458
1266a71
134a074
1437965
152a5c4
hex21475

136309 has 2 divisors, whose sum is σ = 136310. Its totient is φ = 136308.

The previous prime is 136303. The next prime is 136319. The reversal of 136309 is 903631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 49284 = 295^2 + 222^2 .

It is a cyclic number.

It is not a de Polignac number, because 136309 - 25 = 136277 is a prime.

It is a super-3 number, since 3×1363093 = 7597922333254887, which contains 333 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 136309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (136303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68154 + 68155.

It is an arithmetic number, because the mean of its divisors is an integer number (68155).

2136309 is an apocalyptic number.

It is an amenable number.

136309 is a deficient number, since it is larger than the sum of its proper divisors (1).

136309 is an equidigital number, since it uses as much as digits as its factorization.

136309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 136309 is about 369.2004875403. The cubic root of 136309 is about 51.4645497070.

It can be divided in two parts, 136 and 309, that multiplied together give a palindrome (42024).

The spelling of 136309 in words is "one hundred thirty-six thousand, three hundred nine".