Search a number
-
+
137288237 is a prime number
BaseRepresentation
bin10000010111011…
…01101000101101
3100120022222001112
420023231220231
5240121210422
621342321405
73254634152
oct1013555055
9316288045
10137288237
117054a759
1239b89265
132259ac58
141433a229
15c0bcee2
hex82eda2d

137288237 has 2 divisors, whose sum is σ = 137288238. Its totient is φ = 137288236.

The previous prime is 137288231. The next prime is 137288257. The reversal of 137288237 is 732882731.

137288237 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74149321 + 63138916 = 8611^2 + 7946^2 .

It is a cyclic number.

It is not a de Polignac number, because 137288237 - 28 = 137287981 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137288194 and 137288203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137288231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68644118 + 68644119.

It is an arithmetic number, because the mean of its divisors is an integer number (68644119).

Almost surely, 2137288237 is an apocalyptic number.

It is an amenable number.

137288237 is a deficient number, since it is larger than the sum of its proper divisors (1).

137288237 is an equidigital number, since it uses as much as digits as its factorization.

137288237 is an evil number, because the sum of its binary digits is even.

The product of its digits is 112896, while the sum is 41.

The square root of 137288237 is about 11717.0063156081. The cubic root of 137288237 is about 515.8749534238.

The spelling of 137288237 in words is "one hundred thirty-seven million, two hundred eighty-eight thousand, two hundred thirty-seven".