137082749 has 2 divisors, whose sum is σ = 137082750. Its totient is φ = 137082748.

The previous prime is 137082731. The next prime is 137082761. The reversal of 137082749 is 947280731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137053849 + 28900 = 11707^2 + 170^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137082749 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137082769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68541374 + 68541375.

It is an arithmetic number, because the mean of its divisors is an integer number (68541375).

Almost surely, 2^137082749 is an apocalyptic number.

It is an amenable number.

137082749 is a deficient number, since it is larger than the sum of its proper divisors (1).

137082749 is an equidigital number, since it uses as much as digits as its factorization.

137082749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 137082749 is about 11708.2342392011. The cubic root of 137082749 is about 515.6174439982.

The spelling of 137082749 in words is "one hundred thirty-seven million, eighty-two thousand, seven hundred forty-nine".