132822000 has 240 divisors, whose sum is σ = 476790912. Its totient is φ = 34444800.

The previous prime is 132821999. The next prime is 132822007. The reversal of 132822000 is 228231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132822007) 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 47 ways as a sum of consecutive naturals, for example, 845922 + ... + 846078.

Almost surely, 2^132822000 is an apocalyptic number.

132822000 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 132822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238395456).

132822000 is an abundant number, since it is smaller than the sum of its proper divisors (343968912).

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

132822000 is a wasteful number, since it uses less digits than its factorization.

132822000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132822000 is about 11524.8427321157. The cubic root of 132822000 is about 510.2190523825.

The spelling of 132822000 in words is "one hundred thirty-two million, eight hundred twenty-two thousand".