132219824 has 80 divisors (see below), whose sum is σ = 295695360. Its totient is φ = 56686080.

The previous prime is 132219823. The next prime is 132219853. The reversal of 132219824 is 428912231.

It is a super-4 number, since 4×132219824⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (132219823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360089 + ... + 360455.

It is an arithmetic number, because the mean of its divisors is an integer number (3696192).

Almost surely, 2^132219824 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 132219824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147847680).

132219824 is an abundant number, since it is smaller than the sum of its proper divisors (163475536).

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

132219824 is a wasteful number, since it uses less digits than its factorization.

132219824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 132219824 is about 11498.6879251504. The cubic root of 132219824 is about 509.4468229936.

The spelling of 132219824 in words is "one hundred thirty-two million, two hundred nineteen thousand, eight hundred twenty-four".