132504480 has 288 divisors, whose sum is σ = 495331200. Its totient is φ = 32126976.

The previous prime is 132504479. The next prime is 132504487. The reversal of 132504480 is 84405231.

132504480 is a `hidden beast` number, since 132 + 50 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (132504487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793357 + ... + 793523.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^132504480 is an apocalyptic number.

132504480 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 132504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

132504480 is an abundant number, since it is smaller than the sum of its proper divisors (362826720).

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

132504480 is a wasteful number, since it uses less digits than its factorization.

132504480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132504480 is about 11511.0590303412. The cubic root of 132504480 is about 509.8121568890.

The spelling of 132504480 in words is "one hundred thirty-two million, five hundred four thousand, four hundred eighty".