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137391361 is a prime number
BaseRepresentation
bin10000011000001…
…10110100000001
3100120112012111221
420030012310001
5240133010421
621344435041
73255543622
oct1014066401
9316465457
10137391361
1170610188
123a018a81
1322605b83
1414365a49
15c0dd841
hex8306d01

137391361 has 2 divisors, whose sum is σ = 137391362. Its totient is φ = 137391360.

The previous prime is 137391343. The next prime is 137391367. The reversal of 137391361 is 163193731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130965136 + 6426225 = 11444^2 + 2535^2 .

It is a cyclic number.

It is not a de Polignac number, because 137391361 - 215 = 137358593 is a prime.

It is not a weakly prime, because it can be changed into another prime (137391367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68695680 + 68695681.

It is an arithmetic number, because the mean of its divisors is an integer number (68695681).

Almost surely, 2137391361 is an apocalyptic number.

It is an amenable number.

137391361 is a deficient number, since it is larger than the sum of its proper divisors (1).

137391361 is an equidigital number, since it uses as much as digits as its factorization.

137391361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 34.

The square root of 137391361 is about 11721.4061016586. The cubic root of 137391361 is about 516.0040875124.

The spelling of 137391361 in words is "one hundred thirty-seven million, three hundred ninety-one thousand, three hundred sixty-one".