137812957 has 2 divisors, whose sum is σ = 137812958. Its totient is φ = 137812956.

The previous prime is 137812937. The next prime is 137812991. The reversal of 137812957 is 759218731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137804121 + 8836 = 11739^2 + 94^2 .

It is an emirp because it is prime and its reverse (759218731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137812957 is a prime.

It is a super-2 number, since 2×137812957² = 37984822234167698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137812937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68906478 + 68906479.

It is an arithmetic number, because the mean of its divisors is an integer number (68906479).

Almost surely, 2^137812957 is an apocalyptic number.

It is an amenable number.

137812957 is a deficient number, since it is larger than the sum of its proper divisors (1).

137812957 is an equidigital number, since it uses as much as digits as its factorization.

137812957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 43.

The square root of 137812957 is about 11739.3763462971. The cubic root of 137812957 is about 516.5313480285.

The spelling of 137812957 in words is "one hundred thirty-seven million, eight hundred twelve thousand, nine hundred fifty-seven".