132360480 has 240 divisors, whose sum is σ = 534219840. Its totient is φ = 30233088.

The previous prime is 132360427. The next prime is 132360509. The reversal of 132360480 is 84063231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 89991 + ... + 91449.

It is an arithmetic number, because the mean of its divisors is an integer number (2225916).

Almost surely, 2^132360480 is an apocalyptic number.

132360480 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 132360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267109920).

132360480 is an abundant number, since it is smaller than the sum of its proper divisors (401859360).

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

132360480 is a wasteful number, since it uses less digits than its factorization.

132360480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132360480 is about 11504.8024754882. The cubic root of 132360480 is about 509.6274095239.

The spelling of 132360480 in words is "one hundred thirty-two million, three hundred sixty thousand, four hundred eighty".