132824601 has 48 divisors (see below), whose sum is σ = 238178304. Its totient is φ = 69455232.

The previous prime is 132824591. The next prime is 132824617. The reversal of 132824601 is 106428231.

132824601 is a `hidden beast` number, since 1 + 32 + 8 + 24 + 601 = 666.

It is not a de Polignac number, because 132824601 - 2⁶ = 132824537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132824101) 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 47 ways as a sum of consecutive naturals, for example, 103375 + ... + 104651.

It is an arithmetic number, because the mean of its divisors is an integer number (4962048).

Almost surely, 2^132824601 is an apocalyptic number.

It is an amenable number.

132824601 is a deficient number, since it is larger than the sum of its proper divisors (105353703).

132824601 is a wasteful number, since it uses less digits than its factorization.

132824601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132824601 is about 11524.9555747517. The cubic root of 132824601 is about 510.2223828325. Note that the first 3 decimals are identical.

The spelling of 132824601 in words is "one hundred thirty-two million, eight hundred twenty-four thousand, six hundred one".