137677781067 has 16 divisors (see below), whose sum is σ = 189311074560. Its totient is φ = 88958660000.

The previous prime is 137677780967. The next prime is 137677781083. The reversal of 137677781067 is 760187776731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 137677781067 - 2⁷ = 137677780939 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137677781067.

It is not an unprimeable number, because it can be changed into a prime (137677781167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5465184 + ... + 5490317.

It is an arithmetic number, because the mean of its divisors is an integer number (11831942160).

Almost surely, 2^137677781067 is an apocalyptic number.

137677781067 is a deficient number, since it is larger than the sum of its proper divisors (51633293493).

137677781067 is a wasteful number, since it uses less digits than its factorization.

137677781067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10955634.

The product of its (nonzero) digits is 14521248, while the sum is 60.

The spelling of 137677781067 in words is "one hundred thirty-seven billion, six hundred seventy-seven million, seven hundred eighty-one thousand, sixty-seven".