137263127 has 2 divisors, whose sum is σ = 137263128. Its totient is φ = 137263126.

The previous prime is 137263111. The next prime is 137263129. The reversal of 137263127 is 721362731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137263127 - 2⁴ = 137263111 is a prime.

Together with 137263129, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137263093 and 137263102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137263129) 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, 68631563 + 68631564.

It is an arithmetic number, because the mean of its divisors is an integer number (68631564).

Almost surely, 2^137263127 is an apocalyptic number.

137263127 is a deficient number, since it is larger than the sum of its proper divisors (1).

137263127 is an equidigital number, since it uses as much as digits as its factorization.

137263127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 32.

The square root of 137263127 is about 11715.9347471723. The cubic root of 137263127 is about 515.8435003530.

The spelling of 137263127 in words is "one hundred thirty-seven million, two hundred sixty-three thousand, one hundred twenty-seven".