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137391517 is a prime number
BaseRepresentation
bin10000011000001…
…10110110011101
3100120112012201201
420030012312131
5240133012032
621344435501
73255544234
oct1014066635
9316465651
10137391517
117061030a
123a018b91
1322605c73
1414365b1b
15c0dd8e7
hex8306d9d

137391517 has 2 divisors, whose sum is σ = 137391518. Its totient is φ = 137391516.

The previous prime is 137391511. The next prime is 137391599. The reversal of 137391517 is 715193731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103449241 + 33942276 = 10171^2 + 5826^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137391517 is a prime.

It is a super-2 number, since 2×1373915172 = 37752857887122578, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137391511) 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, 68695758 + 68695759.

It is an arithmetic number, because the mean of its divisors is an integer number (68695759).

Almost surely, 2137391517 is an apocalyptic number.

It is an amenable number.

137391517 is a deficient number, since it is larger than the sum of its proper divisors (1).

137391517 is an equidigital number, since it uses as much as digits as its factorization.

137391517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19845, while the sum is 37.

The square root of 137391517 is about 11721.4127561485. The cubic root of 137391517 is about 516.0042828100.

The spelling of 137391517 in words is "one hundred thirty-seven million, three hundred ninety-one thousand, five hundred seventeen".