137763749 has 2 divisors, whose sum is σ = 137763750. Its totient is φ = 137763748.

The previous prime is 137763739. The next prime is 137763751. The reversal of 137763749 is 947367731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95902849 + 41860900 = 9793^2 + 6470^2 .

It is a cyclic number.

It is not a de Polignac number, because 137763749 - 2²⁴ = 120986533 is a prime.

Together with 137763751, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137763709) 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, 68881874 + 68881875.

It is an arithmetic number, because the mean of its divisors is an integer number (68881875).

Almost surely, 2^137763749 is an apocalyptic number.

It is an amenable number.

137763749 is a deficient number, since it is larger than the sum of its proper divisors (1).

137763749 is an equidigital number, since it uses as much as digits as its factorization.

137763749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 666792, while the sum is 47.

The square root of 137763749 is about 11737.2803067832. The cubic root of 137763749 is about 516.4698625171.

The spelling of 137763749 in words is "one hundred thirty-seven million, seven hundred sixty-three thousand, seven hundred forty-nine".