132406824 has 64 divisors (see below), whose sum is σ = 362672640. Its totient is φ = 39949760.

The previous prime is 132406823. The next prime is 132406871. The reversal of 132406824 is 428604231.

It is a junction number, because it is equal to n+sod(n) for n = 132406791 and 132406800.

It is not an unprimeable number, because it can be changed into a prime (132406823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68479 + ... + 70385.

It is an arithmetic number, because the mean of its divisors is an integer number (5666760).

Almost surely, 2^132406824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132406824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181336320).

132406824 is an abundant number, since it is smaller than the sum of its proper divisors (230265816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132406824 is a wasteful number, since it uses less digits than its factorization.

132406824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 132406824 is about 11506.8164146301. The cubic root of 132406824 is about 509.6868820006.

The spelling of 132406824 in words is "one hundred thirty-two million, four hundred six thousand, eight hundred twenty-four".