133132401 has 24 divisors (see below), whose sum is σ = 198190824. Its totient is φ = 86054400.

The previous prime is 133132397. The next prime is 133132451. The reversal of 133132401 is 104231331.

133132401 is a `hidden beast` number, since 133 + 132 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112338801 + 20793600 = 10599^2 + 4560^2 .

It is not a de Polignac number, because 133132401 - 2² = 133132397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133132451) 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, 133035 + ... + 134031.

It is an arithmetic number, because the mean of its divisors is an integer number (8257951).

Almost surely, 2^133132401 is an apocalyptic number.

It is an amenable number.

133132401 is a deficient number, since it is larger than the sum of its proper divisors (65058423).

133132401 is a wasteful number, since it uses less digits than its factorization.

133132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133132401 is about 11538.3014781206. The cubic root of 133132401 is about 510.6161986720.

Adding to 133132401 its reverse (104231331), we get a palindrome (237363732).

The spelling of 133132401 in words is "one hundred thirty-three million, one hundred thirty-two thousand, four hundred one".