132521280 has 224 divisors, whose sum is σ = 447495168. Its totient is φ = 33177600.

The previous prime is 132521261. The next prime is 132521297. The reversal of 132521280 is 82125231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132521280.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1815324 + ... + 1815396.

Almost surely, 2^132521280 is an apocalyptic number.

132521280 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 132521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223747584).

132521280 is an abundant number, since it is smaller than the sum of its proper divisors (314973888).

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

132521280 is a wasteful number, since it uses less digits than its factorization.

132521280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 132521280 is about 11511.7887402436. The cubic root of 132521280 is about 509.8337020280.

The spelling of 132521280 in words is "one hundred thirty-two million, five hundred twenty-one thousand, two hundred eighty".