132024444420231 has 36 divisors (see below), whose sum is σ = 209666039323104. Its totient is φ = 79995166933440.

The previous prime is 132024444420229. The next prime is 132024444420233.

132024444420231 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 4 + 4 + 444 + 202 + 3 + 1 = 666.

132024444420231 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (132024444420229) and next prime (132024444420233).

It is not a de Polignac number, because 132024444420231 - 2¹ = 132024444420229 is a prime.

It is a super-2 number, since 2×132024444420231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132024444420233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10447215 + ... + 19318208.

It is an arithmetic number, because the mean of its divisors is an integer number (5824056647864).

Almost surely, 2^{132024444420231} is an apocalyptic number.

132024444420231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132024444420231 is a deficient number, since it is larger than the sum of its proper divisors (77641594902873).

132024444420231 is a wasteful number, since it uses less digits than its factorization.

132024444420231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29769524 (or 29769510 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 132024444420231 in words is "one hundred thirty-two trillion, twenty-four billion, four hundred forty-four million, four hundred twenty thousand, two hundred thirty-one".