137124089 has 2 divisors, whose sum is σ = 137124090. Its totient is φ = 137124088.

The previous prime is 137124079. The next prime is 137124107. The reversal of 137124089 is 980421731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97219600 + 39904489 = 9860^2 + 6317^2 .

It is a cyclic number.

It is not a de Polignac number, because 137124089 - 2⁴ = 137124073 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137124079) 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, 68562044 + 68562045.

It is an arithmetic number, because the mean of its divisors is an integer number (68562045).

Almost surely, 2^137124089 is an apocalyptic number.

It is an amenable number.

137124089 is a deficient number, since it is larger than the sum of its proper divisors (1).

137124089 is an equidigital number, since it uses as much as digits as its factorization.

137124089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 137124089 is about 11709.9995303160. Note that the first 3 decimals coincide. The cubic root of 137124089 is about 515.6692703171.

The spelling of 137124089 in words is "one hundred thirty-seven million, one hundred twenty-four thousand, eighty-nine".