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137082307 is a prime number
BaseRepresentation
bin10000010101110…
…11010111000011
3100112221111120111
420022323113003
5240043113212
621334052151
73253115605
oct1012732703
9315844514
10137082307
1170419a6a
1239aaa057
13225282bb
14142c5175
15c07bea7
hex82bb5c3

137082307 has 2 divisors, whose sum is σ = 137082308. Its totient is φ = 137082306.

The previous prime is 137082293. The next prime is 137082313. The reversal of 137082307 is 703280731.

137082307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137082307 is a prime.

It is not a weakly prime, because it can be changed into another prime (137082347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68541153 + 68541154.

It is an arithmetic number, because the mean of its divisors is an integer number (68541154).

Almost surely, 2137082307 is an apocalyptic number.

137082307 is a deficient number, since it is larger than the sum of its proper divisors (1).

137082307 is an equidigital number, since it uses as much as digits as its factorization.

137082307 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 137082307 is about 11708.2153635812. The cubic root of 137082307 is about 515.6168898241.

The spelling of 137082307 in words is "one hundred thirty-seven million, eighty-two thousand, three hundred seven".