137729683567 has 16 divisors (see below), whose sum is σ = 159293122560. Its totient is φ = 116646592608.

The previous prime is 137729683463. The next prime is 137729683577. The reversal of 137729683567 is 765386927731.

It is not a de Polignac number, because 137729683567 - 2³⁵ = 103369945199 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137729683499 and 137729683508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137729683577) 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, 153343 + ... + 546784.

It is an arithmetic number, because the mean of its divisors is an integer number (9955820160).

Almost surely, 2^137729683567 is an apocalyptic number.

137729683567 is a deficient number, since it is larger than the sum of its proper divisors (21563438993).

137729683567 is a wasteful number, since it uses less digits than its factorization.

137729683567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700470.

The product of its digits is 80015040, while the sum is 64.

The spelling of 137729683567 in words is "one hundred thirty-seven billion, seven hundred twenty-nine million, six hundred eighty-three thousand, five hundred sixty-seven".