132128280 has 256 divisors, whose sum is σ = 476928000. Its totient is φ = 32431104.

The previous prime is 132128251. The next prime is 132128291. The reversal of 132128280 is 82821231.

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

It is a zygodrome in base 2.

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, 964372 + ... + 964508.

It is an arithmetic number, because the mean of its divisors is an integer number (1863000).

Almost surely, 2^132128280 is an apocalyptic number.

132128280 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 132128280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238464000).

132128280 is an abundant number, since it is smaller than the sum of its proper divisors (344799720).

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

132128280 is a wasteful number, since it uses less digits than its factorization.

132128280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

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

The square root of 132128280 is about 11494.7066078261. The cubic root of 132128280 is about 509.3292219515.

The spelling of 132128280 in words is "one hundred thirty-two million, one hundred twenty-eight thousand, two hundred eighty".