137016949 has 2 divisors, whose sum is σ = 137016950. Its totient is φ = 137016948.

The previous prime is 137016899. The next prime is 137016977. The reversal of 137016949 is 949610731.

137016949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93219025 + 43797924 = 9655^2 + 6618^2 .

It is a cyclic number.

It is not a de Polignac number, because 137016949 - 2¹¹ = 137014901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137016989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68508474 + 68508475.

It is an arithmetic number, because the mean of its divisors is an integer number (68508475).

Almost surely, 2^137016949 is an apocalyptic number.

It is an amenable number.

137016949 is a deficient number, since it is larger than the sum of its proper divisors (1).

137016949 is an equidigital number, since it uses as much as digits as its factorization.

137016949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 137016949 is about 11705.4239137248. The cubic root of 137016949 is about 515.5349316521.

The spelling of 137016949 in words is "one hundred thirty-seven million, sixteen thousand, nine hundred forty-nine".