137126807 has 2 divisors, whose sum is σ = 137126808. Its totient is φ = 137126806.

The previous prime is 137126789. The next prime is 137126809. The reversal of 137126807 is 708621731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137126807 - 2¹⁶ = 137061271 is a prime.

It is a super-2 number, since 2×137126807² = 37607522396030498, which contains 22 as substring.

Together with 137126809, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137126809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68563403 + 68563404.

It is an arithmetic number, because the mean of its divisors is an integer number (68563404).

Almost surely, 2^137126807 is an apocalyptic number.

137126807 is a deficient number, since it is larger than the sum of its proper divisors (1).

137126807 is an equidigital number, since it uses as much as digits as its factorization.

137126807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 137126807 is about 11710.1155843997. The cubic root of 137126807 is about 515.6726774010.

The spelling of 137126807 in words is "one hundred thirty-seven million, one hundred twenty-six thousand, eight hundred seven".