132653906 has 32 divisors (see below), whose sum is σ = 250518528. Its totient is φ = 51175440.

The previous prime is 132653897. The next prime is 132653909. The reversal of 132653906 is 609356231.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (132653909) 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 15 ways as a sum of consecutive naturals, for example, 11681 + ... + 20043.

It is an arithmetic number, because the mean of its divisors is an integer number (7828704).

Almost surely, 2^132653906 is an apocalyptic number.

132653906 is a deficient number, since it is larger than the sum of its proper divisors (117864622).

132653906 is a wasteful number, since it uses less digits than its factorization.

132653906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8486.

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 132653906 is about 11517.5477424667. The cubic root of 132653906 is about 510.0037241814.

It can be divided in two parts, 13265 and 3906, that added together give a palindrome (17171).

The spelling of 132653906 in words is "one hundred thirty-two million, six hundred fifty-three thousand, nine hundred six".