132284460 has 288 divisors, whose sum is σ = 493355520. Its totient is φ = 25850880.

The previous prime is 132284459. The next prime is 132284483. The reversal of 132284460 is 64482231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 965512 + ... + 965648.

It is an arithmetic number, because the mean of its divisors is an integer number (1713040).

Almost surely, 2^132284460 is an apocalyptic number.

132284460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132284460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246677760).

132284460 is an abundant number, since it is smaller than the sum of its proper divisors (361071060).

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

132284460 is a wasteful number, since it uses less digits than its factorization.

132284460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

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

The square root of 132284460 is about 11501.4981632829. The cubic root of 132284460 is about 509.5298242652.

The spelling of 132284460 in words is "one hundred thirty-two million, two hundred eighty-four thousand, four hundred sixty".