137268007 has 2 divisors, whose sum is σ = 137268008. Its totient is φ = 137268006.

The previous prime is 137267987. The next prime is 137268023. The reversal of 137268007 is 700862731.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137268007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137268037) 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, 68634003 + 68634004.

It is an arithmetic number, because the mean of its divisors is an integer number (68634004).

Almost surely, 2^137268007 is an apocalyptic number.

137268007 is a deficient number, since it is larger than the sum of its proper divisors (1).

137268007 is an equidigital number, since it uses as much as digits as its factorization.

137268007 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 34.

The square root of 137268007 is about 11716.1430086868. The cubic root of 137268007 is about 515.8496133967.

The spelling of 137268007 in words is "one hundred thirty-seven million, two hundred sixty-eight thousand, seven".