132733441 has 9 divisors (see below), whose sum is σ = 136535689. Its totient is φ = 129035200.

The previous prime is 132733397. The next prime is 132733451. The reversal of 132733441 is 144337231.

The square root of 132733441 is 11521.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18671041 + 114062400 = 4321^2 + 10680^2 .

It is a de Polignac number, because none of the positive numbers 2^k-132733441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132733451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 472221 + ... + 472501.

Almost surely, 2^132733441 is an apocalyptic number.

132733441 is the 11521-st square number.

132733441 is the 5761-st centered octagonal number.

It is an amenable number.

132733441 is a deficient number, since it is larger than the sum of its proper divisors (3802248).

132733441 is an frugal number, since it uses more digits than its factorization.

132733441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The cubic root of 132733441 is about 510.1056310742.

The spelling of 132733441 in words is "one hundred thirty-two million, seven hundred thirty-three thousand, four hundred forty-one".