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137306237 is a prime number
BaseRepresentation
bin10000010111100…
…10000001111101
3100120100212202012
420023302001331
5240122244422
621342541005
73255040505
oct1013620175
9316325665
10137306237
1170562232
1239b97765
13225a61c3
1414342a05
15c0c34e2
hex82f207d

137306237 has 2 divisors, whose sum is σ = 137306238. Its totient is φ = 137306236.

The previous prime is 137306173. The next prime is 137306311. The reversal of 137306237 is 732603731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93296281 + 44009956 = 9659^2 + 6634^2 .

It is a cyclic number.

It is not a de Polignac number, because 137306237 - 26 = 137306173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137306137) 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, 68653118 + 68653119.

It is an arithmetic number, because the mean of its divisors is an integer number (68653119).

Almost surely, 2137306237 is an apocalyptic number.

It is an amenable number.

137306237 is a deficient number, since it is larger than the sum of its proper divisors (1).

137306237 is an equidigital number, since it uses as much as digits as its factorization.

137306237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 32.

The square root of 137306237 is about 11717.7744047238. The cubic root of 137306237 is about 515.8974980680.

Adding to 137306237 its reverse (732603731), we get a palindrome (869909968).

The spelling of 137306237 in words is "one hundred thirty-seven million, three hundred six thousand, two hundred thirty-seven".