132658495956009 has 27 divisors (see below), whose sum is σ = 192012378731589. Its totient is φ = 88257270291840.

The previous prime is 132658495956001. The next prime is 132658495956017. The reversal of 132658495956009 is 900659594856231.

The square root of 132658495956009 is 11517747.

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

132658495956009 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 8 + 4 + 9 + 5 + 9 + 5 + 600 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (132658495956001) and next prime (132658495956017).

It can be written as a sum of positive squares in 4 ways, for example, as 10458736596009 + 122199759360000 = 3233997^2 + 11054400^2 .

It is not a de Polignac number, because 132658495956009 - 2³ = 132658495956001 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (132658495956001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18002234877 + ... + 18002242245.

Almost surely, 2^{132658495956009} is an apocalyptic number.

132658495956009 is the 11517747-th square number.

132658495956009 is the 5758874-th centered octagonal number.

It is an amenable number.

132658495956009 is a deficient number, since it is larger than the sum of its proper divisors (59353882775580).

132658495956009 is an frugal number, since it uses more digits than its factorization.

132658495956009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15786 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 132658495956009 in words is "one hundred thirty-two trillion, six hundred fifty-eight billion, four hundred ninety-five million, nine hundred fifty-six thousand, nine".