132654004600113 has 12 divisors (see below), whose sum is σ = 191721906267060. Its totient is φ = 88384972471776.

The previous prime is 132654004600099. The next prime is 132654004600193. The reversal of 132654004600113 is 311006400456231.

132654004600113 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 40 + 0 + 4 + 600 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19792426481424 + 112861578118689 = 4448868^2 + 10623633^2 .

It is not a de Polignac number, because 132654004600113 - 2⁶ = 132654004600049 is a prime.

It is a super-2 number, since 2×132654004600113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132654004600193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4252533118 + ... + 4252564311.

It is an arithmetic number, because the mean of its divisors is an integer number (15976825522255).

Almost surely, 2^{132654004600113} is an apocalyptic number.

It is an amenable number.

132654004600113 is a deficient number, since it is larger than the sum of its proper divisors (59067901666947).

132654004600113 is a wasteful number, since it uses less digits than its factorization.

132654004600113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505099168 (or 8505099165 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 132654004600113 in words is "one hundred thirty-two trillion, six hundred fifty-four billion, four million, six hundred thousand, one hundred thirteen".