132882120 has 384 divisors, whose sum is σ = 538444800. Its totient is φ = 29393280.

The previous prime is 132882091. The next prime is 132882121. The reversal of 132882120 is 21288231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132882121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4286505 + ... + 4286535.

It is an arithmetic number, because the mean of its divisors is an integer number (1402200).

Almost surely, 2^132882120 is an apocalyptic number.

132882120 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 132882120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269222400).

132882120 is an abundant number, since it is smaller than the sum of its proper divisors (405562680).

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

132882120 is an equidigital number, since it uses as much as digits as its factorization.

132882120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 132882120 is about 11527.4507155745. The cubic root of 132882120 is about 510.2960219169.

The spelling of 132882120 in words is "one hundred thirty-two million, eight hundred eighty-two thousand, one hundred twenty".