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137255281 is a prime number
BaseRepresentation
bin10000010111001…
…01100101110001
3100120021021211221
420023211211301
5240114132111
621341505041
73254436112
oct1013454561
9316237757
10137255281
1170527a19
1239b72181
1322588c57
141432c209
15c0b3371
hex82e5971

137255281 has 2 divisors, whose sum is σ = 137255282. Its totient is φ = 137255280.

The previous prime is 137255179. The next prime is 137255309. The reversal of 137255281 is 182552731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135512881 + 1742400 = 11641^2 + 1320^2 .

It is a cyclic number.

It is not a de Polignac number, because 137255281 - 29 = 137254769 is a prime.

It is a super-3 number, since 3×1372552813 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (137255081) 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, 68627640 + 68627641.

It is an arithmetic number, because the mean of its divisors is an integer number (68627641).

Almost surely, 2137255281 is an apocalyptic number.

It is an amenable number.

137255281 is a deficient number, since it is larger than the sum of its proper divisors (1).

137255281 is an equidigital number, since it uses as much as digits as its factorization.

137255281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16800, while the sum is 34.

The square root of 137255281 is about 11715.5998992796. The cubic root of 137255281 is about 515.8336715779.

The spelling of 137255281 in words is "one hundred thirty-seven million, two hundred fifty-five thousand, two hundred eighty-one".