137747497 has 2 divisors, whose sum is σ = 137747498. Its totient is φ = 137747496.

The previous prime is 137747461. The next prime is 137747501. The reversal of 137747497 is 794747731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109327936 + 28419561 = 10456^2 + 5331^2 .

It is a cyclic number.

It is not a de Polignac number, because 137747497 - 2¹⁹ = 137223209 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137747497.

It is not a weakly prime, because it can be changed into another prime (137747297) 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, 68873748 + 68873749.

It is an arithmetic number, because the mean of its divisors is an integer number (68873749).

Almost surely, 2^137747497 is an apocalyptic number.

It is an amenable number.

137747497 is a deficient number, since it is larger than the sum of its proper divisors (1).

137747497 is an equidigital number, since it uses as much as digits as its factorization.

137747497 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1037232, while the sum is 49.

The square root of 137747497 is about 11736.5879624361. The cubic root of 137747497 is about 516.4495523887.

The spelling of 137747497 in words is "one hundred thirty-seven million, seven hundred forty-seven thousand, four hundred ninety-seven".