181105137 has 12 divisors (see below), whose sum is σ = 261811524. Its totient is φ = 120637440.

The previous prime is 181105109. The next prime is 181105139. The reversal of 181105137 is 731501181.

It can be written as a sum of positive squares in 2 ways, for example, as 102090816 + 79014321 = 10104^2 + 8889^2 .

It is not a de Polignac number, because 181105137 - 2⁷ = 181105009 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 181105137.

It is not an unprimeable number, because it can be changed into a prime (181105139) 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, 4273 + ... + 19505.

It is an arithmetic number, because the mean of its divisors is an integer number (21817627).

Almost surely, 2^181105137 is an apocalyptic number.

It is an amenable number.

181105137 is a deficient number, since it is larger than the sum of its proper divisors (80706387).

181105137 is a wasteful number, since it uses less digits than its factorization.

181105137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16560 (or 16557 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 181105137 is about 13457.5308656529. The cubic root of 181105137 is about 565.7747868905.

The spelling of 181105137 in words is "one hundred eighty-one million, one hundred five thousand, one hundred thirty-seven".