137677689 has 12 divisors (see below), whose sum is σ = 198975972. Its totient is φ = 91735200.

The previous prime is 137677651. The next prime is 137677691. The reversal of 137677689 is 986776731.

137677689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42029289 + 95648400 = 6483^2 + 9780^2 .

It is not a de Polignac number, because 137677689 - 2⁸ = 137677433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137677889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21879 + ... + 27459.

It is an arithmetic number, because the mean of its divisors is an integer number (16581331).

Almost surely, 2^137677689 is an apocalyptic number.

It is an amenable number.

137677689 is a deficient number, since it is larger than the sum of its proper divisors (61298283).

137677689 is a wasteful number, since it uses less digits than its factorization.

137677689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8325 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 137677689 is about 11733.6136377503. The cubic root of 137677689 is about 516.3622951413.

The spelling of 137677689 in words is "one hundred thirty-seven million, six hundred seventy-seven thousand, six hundred eighty-nine".