137186461 has 2 divisors, whose sum is σ = 137186462. Its totient is φ = 137186460.

The previous prime is 137186459. The next prime is 137186507. The reversal of 137186461 is 164681731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137030436 + 156025 = 11706^2 + 395^2 .

It is a cyclic number.

It is not a de Polignac number, because 137186461 - 2¹ = 137186459 is a prime.

Together with 137186459, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137186461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137186431) 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, 68593230 + 68593231.

It is an arithmetic number, because the mean of its divisors is an integer number (68593231).

Almost surely, 2^137186461 is an apocalyptic number.

It is an amenable number.

137186461 is a deficient number, since it is larger than the sum of its proper divisors (1).

137186461 is an equidigital number, since it uses as much as digits as its factorization.

137186461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 37.

The square root of 137186461 is about 11712.6624214992. The cubic root of 137186461 is about 515.7474439106.

The spelling of 137186461 in words is "one hundred thirty-seven million, one hundred eighty-six thousand, four hundred sixty-one".