132612480 has 768 divisors, whose sum is σ = 641571840. Its totient is φ = 24330240.

The previous prime is 132612463. The next prime is 132612499. The reversal of 132612480 is 84216231.

132612480 is a `hidden beast` number, since 1 + 3 + 2 + 612 + 48 + 0 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5765749 + ... + 5765771.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^132612480 is an apocalyptic number.

132612480 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 132612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

132612480 is an abundant number, since it is smaller than the sum of its proper divisors (508959360).

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

132612480 is a wasteful number, since it uses less digits than its factorization.

132612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

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

The square root of 132612480 is about 11515.7492157480. The cubic root of 132612480 is about 509.9506295923.

The spelling of 132612480 in words is "one hundred thirty-two million, six hundred twelve thousand, four hundred eighty".