132216480 has 288 divisors, whose sum is σ = 522220608. Its totient is φ = 30105600.

The previous prime is 132216479. The next prime is 132216547. The reversal of 132216480 is 84612231.

132216480 is a `hidden beast` number, since 13 + 2 + 2 + 1 + 648 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269035 + ... + 269525.

It is an arithmetic number, because the mean of its divisors is an integer number (1813266).

Almost surely, 2^132216480 is an apocalyptic number.

132216480 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 132216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261110304).

132216480 is an abundant number, since it is smaller than the sum of its proper divisors (390004128).

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

132216480 is a wasteful number, since it uses less digits than its factorization.

132216480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132216480 is about 11498.5425163366. The cubic root of 132216480 is about 509.4425281144.

It can be divided in two parts, 13221 and 6480, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 132216480 in words is "one hundred thirty-two million, two hundred sixteen thousand, four hundred eighty".