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137318281 is a prime number
BaseRepresentation
bin10000010111101…
…00111110001001
3100120101111021021
420023310332021
5240123141111
621343112441
73255120562
oct1013647611
9316344237
10137318281
1170570291
1239ba2721
13225ab829
1414347169
15c0c6d71
hex82f4f89

137318281 has 2 divisors, whose sum is σ = 137318282. Its totient is φ = 137318280.

The previous prime is 137318267. The next prime is 137318297. The reversal of 137318281 is 182813731.

137318281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130988025 + 6330256 = 11445^2 + 2516^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137318281 is a prime.

It is a super-2 number, since 2×1373182812 = 37712620593589922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137318201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68659140 + 68659141.

It is an arithmetic number, because the mean of its divisors is an integer number (68659141).

Almost surely, 2137318281 is an apocalyptic number.

It is an amenable number.

137318281 is a deficient number, since it is larger than the sum of its proper divisors (1).

137318281 is an equidigital number, since it uses as much as digits as its factorization.

137318281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 34.

The square root of 137318281 is about 11718.2883135721. The cubic root of 137318281 is about 515.9125818397.

The spelling of 137318281 in words is "one hundred thirty-seven million, three hundred eighteen thousand, two hundred eighty-one".