Search a number
-
+
137158709 is a prime number
BaseRepresentation
bin10000010110011…
…10000000110101
3100120002101101012
420023032000311
5240103034314
621335442005
73253554422
oct1013160065
9316071335
10137158709
1170471406
1239b26305
1322553ccc
1414304d49
15c09493e
hex82ce035

137158709 has 2 divisors, whose sum is σ = 137158710. Its totient is φ = 137158708.

The previous prime is 137158687. The next prime is 137158789. The reversal of 137158709 is 907851731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80156209 + 57002500 = 8953^2 + 7550^2 .

It is a cyclic number.

It is not a de Polignac number, because 137158709 - 212 = 137154613 is a prime.

It is a super-2 number, since 2×1371587092 = 37625022909093362, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137158789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68579354 + 68579355.

It is an arithmetic number, because the mean of its divisors is an integer number (68579355).

Almost surely, 2137158709 is an apocalyptic number.

It is an amenable number.

137158709 is a deficient number, since it is larger than the sum of its proper divisors (1).

137158709 is an equidigital number, since it uses as much as digits as its factorization.

137158709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 41.

The square root of 137158709 is about 11711.4776608249. The cubic root of 137158709 is about 515.7126640249.

The spelling of 137158709 in words is "one hundred thirty-seven million, one hundred fifty-eight thousand, seven hundred nine".