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137080337 is a prime number
BaseRepresentation
bin10000010101110…
…10111000010001
3100112221101212112
420022322320101
5240043032322
621334035105
73253110062
oct1012727021
9315841775
10137080337
1170418539
1239aa8a95
1322527434
14142c4569
15c07b5e2
hex82bae11

137080337 has 2 divisors, whose sum is σ = 137080338. Its totient is φ = 137080336.

The previous prime is 137080327. The next prime is 137080351. The reversal of 137080337 is 733080731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136983616 + 96721 = 11704^2 + 311^2 .

It is an emirp because it is prime and its reverse (733080731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137080337 is a prime.

It is not a weakly prime, because it can be changed into another prime (137080327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68540168 + 68540169.

It is an arithmetic number, because the mean of its divisors is an integer number (68540169).

Almost surely, 2137080337 is an apocalyptic number.

It is an amenable number.

137080337 is a deficient number, since it is larger than the sum of its proper divisors (1).

137080337 is an equidigital number, since it uses as much as digits as its factorization.

137080337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 137080337 is about 11708.1312343175. The cubic root of 137080337 is about 515.6144198478.

The spelling of 137080337 in words is "one hundred thirty-seven million, eighty thousand, three hundred thirty-seven".