137362853 has 2 divisors, whose sum is σ = 137362854. Its totient is φ = 137362852.

The previous prime is 137362843. The next prime is 137362861. The reversal of 137362853 is 358263731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121506529 + 15856324 = 11023^2 + 3982^2 .

It is a cyclic number.

It is not a de Polignac number, because 137362853 - 2¹⁸ = 137100709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137362843) 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, 68681426 + 68681427.

It is an arithmetic number, because the mean of its divisors is an integer number (68681427).

Almost surely, 2^137362853 is an apocalyptic number.

It is an amenable number.

137362853 is a deficient number, since it is larger than the sum of its proper divisors (1).

137362853 is an equidigital number, since it uses as much as digits as its factorization.

137362853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90720, while the sum is 38.

The square root of 137362853 is about 11720.1899728631. The cubic root of 137362853 is about 515.9683956466.

The spelling of 137362853 in words is "one hundred thirty-seven million, three hundred sixty-two thousand, eight hundred fifty-three".