165672727137 has 32 divisors (see below), whose sum is σ = 249345075200. Its totient is φ = 108704852496.

The previous prime is 165672727109. The next prime is 165672727159. The reversal of 165672727137 is 731727276561.

165672727137 is a `hidden beast` number, since 1 + 6 + 567 + 2 + 7 + 2 + 71 + 3 + 7 = 666.

It is not a de Polignac number, because 165672727137 - 2⁸ = 165672726881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165672727037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270564 + ... + 636042.

It is an arithmetic number, because the mean of its divisors is an integer number (7792033600).

Almost surely, 2^165672727137 is an apocalyptic number.

It is an amenable number.

165672727137 is a deficient number, since it is larger than the sum of its proper divisors (83672348063).

165672727137 is a wasteful number, since it uses less digits than its factorization.

165672727137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365754 (or 365748 counting only the distinct ones).

The product of its digits is 5186160, while the sum is 54.

The spelling of 165672727137 in words is "one hundred sixty-five billion, six hundred seventy-two million, seven hundred twenty-seven thousand, one hundred thirty-seven".