249091137 has 6 divisors (see below), whose sum is σ = 359798322. Its totient is φ = 166060752.

The previous prime is 249091103. The next prime is 249091147. The reversal of 249091137 is 731190942.

It can be written as a sum of positive squares in only one way, i.e., 231526656 + 17564481 = 15216^2 + 4191^2 .

It is not a de Polignac number, because 249091137 - 2¹⁰ = 249090113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249091147) 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 in 5 ways as a sum of consecutive naturals, for example, 13838388 + ... + 13838405.

It is an arithmetic number, because the mean of its divisors is an integer number (59966387).

Almost surely, 2^249091137 is an apocalyptic number.

It is an amenable number.

249091137 is a deficient number, since it is larger than the sum of its proper divisors (110707185).

249091137 is a wasteful number, since it uses less digits than its factorization.

249091137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27676799 (or 27676796 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 249091137 is about 15782.6213602177. The cubic root of 249091137 is about 629.1962008932.

The spelling of 249091137 in words is "two hundred forty-nine million, ninety-one thousand, one hundred thirty-seven".