132648480 has 144 divisors (see below), whose sum is σ = 455704704. Its totient is φ = 35136000.

The previous prime is 132648463. The next prime is 132648491. The reversal of 132648480 is 84846231.

132648480 is a `hidden beast` number, since 1 + 3 + 2 + 648 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361257 + ... + 361623.

It is an arithmetic number, because the mean of its divisors is an integer number (3164616).

Almost surely, 2^132648480 is an apocalyptic number.

132648480 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 132648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227852352).

132648480 is an abundant number, since it is smaller than the sum of its proper divisors (323056224).

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

132648480 is a wasteful number, since it uses less digits than its factorization.

132648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 132648480 is about 11517.3121864435. The cubic root of 132648480 is about 509.9967704524.

The spelling of 132648480 in words is "one hundred thirty-two million, six hundred forty-eight thousand, four hundred eighty".