137006971677 has 6 divisors (see below), whose sum is σ = 197898959102. Its totient is φ = 91337981112.

The previous prime is 137006971643. The next prime is 137006971681. The reversal of 137006971677 is 776179600731.

It can be written as a sum of positive squares in only one way, i.e., 134796185316 + 2210786361 = 367146^2 + 47019^2 .

It is not a de Polignac number, because 137006971677 - 2³⁰ = 135933229853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137006970677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7611498418 + ... + 7611498435.

Almost surely, 2^137006971677 is an apocalyptic number.

It is an amenable number.

137006971677 is a deficient number, since it is larger than the sum of its proper divisors (60891987425).

137006971677 is a wasteful number, since it uses less digits than its factorization.

137006971677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15222996859 (or 15222996856 counting only the distinct ones).

The product of its (nonzero) digits is 2333772, while the sum is 54.

The spelling of 137006971677 in words is "one hundred thirty-seven billion, six million, nine hundred seventy-one thousand, six hundred seventy-seven".