132480480 has 144 divisors (see below), whose sum is σ = 458901072. Its totient is φ = 32102400.

The previous prime is 132480457. The next prime is 132480487. The reversal of 132480480 is 84084231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132480487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56940 + ... + 59220.

It is an arithmetic number, because the mean of its divisors is an integer number (3186813).

Almost surely, 2^132480480 is an apocalyptic number.

132480480 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 132480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229450536).

132480480 is an abundant number, since it is smaller than the sum of its proper divisors (326420592).

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

132480480 is a wasteful number, since it uses less digits than its factorization.

132480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 132480480 is about 11510.0165073730. The cubic root of 132480480 is about 509.7813749599.

The spelling of 132480480 in words is "one hundred thirty-two million, four hundred eighty thousand, four hundred eighty".