137958913 has 2 divisors, whose sum is σ = 137958914. Its totient is φ = 137958912.

The previous prime is 137958911. The next prime is 137958923. The reversal of 137958913 is 319859731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126180289 + 11778624 = 11233^2 + 3432^2 .

It is a cyclic number.

It is not a de Polignac number, because 137958913 - 2¹ = 137958911 is a prime.

It is a super-2 number, since 2×137958913² = 38065323352283138, which contains 22 as substring.

Together with 137958911, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137958911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68979456 + 68979457.

It is an arithmetic number, because the mean of its divisors is an integer number (68979457).

Almost surely, 2^137958913 is an apocalyptic number.

It is an amenable number.

137958913 is a deficient number, since it is larger than the sum of its proper divisors (1).

137958913 is an equidigital number, since it uses as much as digits as its factorization.

137958913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 204120, while the sum is 46.

The square root of 137958913 is about 11745.5912154306. The cubic root of 137958913 is about 516.7136343474.

The spelling of 137958913 in words is "one hundred thirty-seven million, nine hundred fifty-eight thousand, nine hundred thirteen".