Search a number
-
+
137567231 is a prime number
BaseRepresentation
bin10000011001100…
…01101111111111
3100120212010202122
420030301233333
5240204122411
621352313155
73260205434
oct1014615777
9316763678
10137567231
117072032a
123a0a27bb
1322667c39
14143adb8b
15c1259db
hex8331bff

137567231 has 2 divisors, whose sum is σ = 137567232. Its totient is φ = 137567230.

The previous prime is 137567219. The next prime is 137567233. The reversal of 137567231 is 132765731.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137567231 is a prime.

It is a super-2 number, since 2×1375672312 = 37849486090014722, which contains 22 as substring.

Together with 137567233, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137567191 and 137567200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137567233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68783615 + 68783616.

It is an arithmetic number, because the mean of its divisors is an integer number (68783616).

Almost surely, 2137567231 is an apocalyptic number.

137567231 is a deficient number, since it is larger than the sum of its proper divisors (1).

137567231 is an equidigital number, since it uses as much as digits as its factorization.

137567231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26460, while the sum is 35.

The square root of 137567231 is about 11728.9057886915. The cubic root of 137567231 is about 516.2241667175.

The spelling of 137567231 in words is "one hundred thirty-seven million, five hundred sixty-seven thousand, two hundred thirty-one".