137763517 has 2 divisors, whose sum is σ = 137763518. Its totient is φ = 137763516.

The previous prime is 137763503. The next prime is 137763523. The reversal of 137763517 is 715367731.

137763517 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., 79103236 + 58660281 = 8894^2 + 7659^2 .

It is a cyclic number.

It is not a de Polignac number, because 137763517 - 2⁷ = 137763389 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 137763517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137763917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68881758 + 68881759.

It is an arithmetic number, because the mean of its divisors is an integer number (68881759).

Almost surely, 2^137763517 is an apocalyptic number.

It is an amenable number.

137763517 is a deficient number, since it is larger than the sum of its proper divisors (1).

137763517 is an equidigital number, since it uses as much as digits as its factorization.

137763517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 92610, while the sum is 40.

The square root of 137763517 is about 11737.2704237399. The cubic root of 137763517 is about 516.4695725979.

The spelling of 137763517 in words is "one hundred thirty-seven million, seven hundred sixty-three thousand, five hundred seventeen".