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137287181 is a prime number
BaseRepresentation
bin10000010111011…
…01011000001101
3100120022220121102
420023231120031
5240121142211
621342312445
73254631113
oct1013553015
9316286542
10137287181
1170549989
1239b88725
132259a625
1414339ab3
15c0bca3b
hex82ed60d

137287181 has 2 divisors, whose sum is σ = 137287182. Its totient is φ = 137287180.

The previous prime is 137287169. The next prime is 137287187. The reversal of 137287181 is 181782731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132043081 + 5244100 = 11491^2 + 2290^2 .

It is a cyclic number.

It is not a de Polignac number, because 137287181 - 210 = 137286157 is a prime.

It is a super-2 number, since 2×1372871812 = 37695540133853522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137287187) 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, 68643590 + 68643591.

It is an arithmetic number, because the mean of its divisors is an integer number (68643591).

Almost surely, 2137287181 is an apocalyptic number.

It is an amenable number.

137287181 is a deficient number, since it is larger than the sum of its proper divisors (1).

137287181 is an equidigital number, since it uses as much as digits as its factorization.

137287181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18816, while the sum is 38.

The square root of 137287181 is about 11716.9612528164. The cubic root of 137287181 is about 515.8736307435.

The spelling of 137287181 in words is "one hundred thirty-seven million, two hundred eighty-seven thousand, one hundred eighty-one".