132282720 has 240 divisors, whose sum is σ = 477504720. Its totient is φ = 34477056.

The previous prime is 132282719. The next prime is 132282737. The reversal of 132282720 is 27282231.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 764554 + ... + 764726.

It is an arithmetic number, because the mean of its divisors is an integer number (1989603).

Almost surely, 2^132282720 is an apocalyptic number.

132282720 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 132282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238752360).

132282720 is an abundant number, since it is smaller than the sum of its proper divisors (345222000).

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

132282720 is a wasteful number, since it uses less digits than its factorization.

132282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132282720 is about 11501.4225207146. The cubic root of 132282720 is about 509.5275902266.

The spelling of 132282720 in words is "one hundred thirty-two million, two hundred eighty-two thousand, seven hundred twenty".