132284880 has 320 divisors, whose sum is σ = 561630720. Its totient is φ = 27869184.

The previous prime is 132284869. The next prime is 132284923. The reversal of 132284880 is 88482231.

It is a happy number.

It is a super-2 number, since 2×132284880² = 34998578953228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196224 + ... + 196896.

It is an arithmetic number, because the mean of its divisors is an integer number (1755096).

Almost surely, 2^132284880 is an apocalyptic number.

132284880 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 132284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280815360).

132284880 is an abundant number, since it is smaller than the sum of its proper divisors (429345840).

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

132284880 is a wasteful number, since it uses less digits than its factorization.

132284880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 132284880 is about 11501.5164217593. The cubic root of 132284880 is about 509.5303635130.

The spelling of 132284880 in words is "one hundred thirty-two million, two hundred eighty-four thousand, eight hundred eighty".