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136037813 is a prime number
BaseRepresentation
bin10000001101111…
…00010110110101
3100110222102210112
420012330112311
5234311202223
621255432405
73241205462
oct1006742665
9313872715
10136037813
116a87624a
1239685705
1322250a62
14140d2669
15be22778
hex81bc5b5

136037813 has 2 divisors, whose sum is σ = 136037814. Its totient is φ = 136037812.

The previous prime is 136037779. The next prime is 136037821. The reversal of 136037813 is 318730631.

136037813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90973444 + 45064369 = 9538^2 + 6713^2 .

It is an emirp because it is prime and its reverse (318730631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 136037813 - 226 = 68928949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 136037813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (136037843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68018906 + 68018907.

It is an arithmetic number, because the mean of its divisors is an integer number (68018907).

Almost surely, 2136037813 is an apocalyptic number.

It is an amenable number.

136037813 is a deficient number, since it is larger than the sum of its proper divisors (1).

136037813 is an equidigital number, since it uses as much as digits as its factorization.

136037813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 136037813 is about 11663.5248960166. The cubic root of 136037813 is about 514.3039744362.

The spelling of 136037813 in words is "one hundred thirty-six million, thirty-seven thousand, eight hundred thirteen".