132828192 has 144 divisors (see below), whose sum is σ = 442495872. Its totient is φ = 37002240.

The previous prime is 132828181. The next prime is 132828193. The reversal of 132828192 is 291828231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132828193) 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 23 ways as a sum of consecutive naturals, for example, 81853 + ... + 83459.

It is an arithmetic number, because the mean of its divisors is an integer number (3072888).

Almost surely, 2^132828192 is an apocalyptic number.

132828192 is a gapful number since it is divisible by the number (12) 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 132828192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221247936).

132828192 is an abundant number, since it is smaller than the sum of its proper divisors (309667680).

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

132828192 is a wasteful number, since it uses less digits than its factorization.

132828192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1660 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 132828192 is about 11525.1113660563. Note that the first 3 decimals coincide. The cubic root of 132828192 is about 510.2269808564.

The spelling of 132828192 in words is "one hundred thirty-two million, eight hundred twenty-eight thousand, one hundred ninety-two".