137823307 has 2 divisors, whose sum is σ = 137823308. Its totient is φ = 137823306.

The previous prime is 137823271. The next prime is 137823313. The reversal of 137823307 is 703328731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137823307 - 2²³ = 129434699 is a prime.

It is not a weakly prime, because it can be changed into another prime (137824307) 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, 68911653 + 68911654.

It is an arithmetic number, because the mean of its divisors is an integer number (68911654).

Almost surely, 2^137823307 is an apocalyptic number.

137823307 is a deficient number, since it is larger than the sum of its proper divisors (1).

137823307 is an equidigital number, since it uses as much as digits as its factorization.

137823307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 137823307 is about 11739.8171621197. The cubic root of 137823307 is about 516.5442785147.

The spelling of 137823307 in words is "one hundred thirty-seven million, eight hundred twenty-three thousand, three hundred seven".