132727231 has 24 divisors (see below), whose sum is σ = 168001344. Its totient is φ = 103924800.

The previous prime is 132727223. The next prime is 132727241.

It is a happy number.

132727231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132727231 - 2³ = 132727223 is a prime.

It is a super-2 number, since 2×132727231² = 35233035697854722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132727231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132727241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63306 + ... + 65368.

It is an arithmetic number, because the mean of its divisors is an integer number (7000056).

Almost surely, 2^132727231 is an apocalyptic number.

132727231 is a deficient number, since it is larger than the sum of its proper divisors (35274113).

132727231 is a wasteful number, since it uses less digits than its factorization.

132727231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2184 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 132727231 is about 11520.7304889924. The cubic root of 132727231 is about 510.0976757683.

It can be divided in two parts, 13272 and 7231, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 132727231 in words is "one hundred thirty-two million, seven hundred twenty-seven thousand, two hundred thirty-one".