137807471 has 2 divisors, whose sum is σ = 137807472. Its totient is φ = 137807470.

The previous prime is 137807459. The next prime is 137807477. The reversal of 137807471 is 174708731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137807471 - 2⁶ = 137807407 is a prime.

It is a super-3 number, since 3×137807471³ (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137807477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68903735 + 68903736.

It is an arithmetic number, because the mean of its divisors is an integer number (68903736).

Almost surely, 2^137807471 is an apocalyptic number.

137807471 is a deficient number, since it is larger than the sum of its proper divisors (1).

137807471 is an equidigital number, since it uses as much as digits as its factorization.

137807471 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32928, while the sum is 38.

The square root of 137807471 is about 11739.1426859034. The cubic root of 137807471 is about 516.5244939836.

The spelling of 137807471 in words is "one hundred thirty-seven million, eight hundred seven thousand, four hundred seventy-one".