132427724231 has 32 divisors (see below), whose sum is σ = 148807464960. Its totient is φ = 116811072000.

The previous prime is 132427724153. The next prime is 132427724251.

132427724231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-132427724231 is a prime.

It is a super-2 number, since 2×132427724231² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132427724251) 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 31 ways as a sum of consecutive naturals, for example, 63391835 + ... + 63393923.

It is an arithmetic number, because the mean of its divisors is an integer number (4650233280).

Almost surely, 2^132427724231 is an apocalyptic number.

132427724231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132427724231 is a deficient number, since it is larger than the sum of its proper divisors (16379740729).

132427724231 is a wasteful number, since it uses less digits than its factorization.

132427724231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967.

The product of its digits is 112896, while the sum is 38.

It can be divided in two parts, 132427 and 724231, that added together give a palindrome (856658).

The spelling of 132427724231 in words is "one hundred thirty-two billion, four hundred twenty-seven million, seven hundred twenty-four thousand, two hundred thirty-one".