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 2^k-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, 2^137082307 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".