137812813 has 2 divisors, whose sum is σ = 137812814. Its totient is φ = 137812812.

The previous prime is 137812811. The next prime is 137812823. The reversal of 137812813 is 318218731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128097124 + 9715689 = 11318^2 + 3117^2 .

It is a cyclic number.

It is not a de Polignac number, because 137812813 - 2¹ = 137812811 is a prime.

Together with 137812811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137812811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68906406 + 68906407.

It is an arithmetic number, because the mean of its divisors is an integer number (68906407).

Almost surely, 2^137812813 is an apocalyptic number.

It is an amenable number.

137812813 is a deficient number, since it is larger than the sum of its proper divisors (1).

137812813 is an equidigital number, since it uses as much as digits as its factorization.

137812813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 34.

The square root of 137812813 is about 11739.3702130906. The cubic root of 137812813 is about 516.5311681215.

The spelling of 137812813 in words is "one hundred thirty-seven million, eight hundred twelve thousand, eight hundred thirteen".