137500249 has 2 divisors, whose sum is σ = 137500250. Its totient is φ = 137500248.

The previous prime is 137500247. The next prime is 137500261. The reversal of 137500249 is 942005731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129049600 + 8450649 = 11360^2 + 2907^2 .

It is a cyclic number.

It is not a de Polignac number, because 137500249 - 2¹ = 137500247 is a prime.

Together with 137500247, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 137500249.

It is not a weakly prime, because it can be changed into another prime (137500247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68750124 + 68750125.

It is an arithmetic number, because the mean of its divisors is an integer number (68750125).

Almost surely, 2^137500249 is an apocalyptic number.

It is an amenable number.

137500249 is a deficient number, since it is larger than the sum of its proper divisors (1).

137500249 is an equidigital number, since it uses as much as digits as its factorization.

137500249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 137500249 is about 11726.0500169494. The cubic root of 137500249 is about 516.1403692889.

The spelling of 137500249 in words is "one hundred thirty-seven million, five hundred thousand, two hundred forty-nine".