132318708480 has 864 divisors, whose sum is σ = 557608955904. Its totient is φ = 28279701504.

The previous prime is 132318708449. The next prime is 132318708491. The reversal of 132318708480 is 84807813231.

132318708480 is a `hidden beast` number, since 132 + 31 + 8 + 7 + 0 + 8 + 480 = 666.

It is a super-2 number, since 2×132318708480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 360541257 + ... + 360541623.

It is an arithmetic number, because the mean of its divisors is an integer number (645380736).

Almost surely, 2^132318708480 is an apocalyptic number.

132318708480 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 132318708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278804477952).

132318708480 is an abundant number, since it is smaller than the sum of its proper divisors (425290247424).

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

132318708480 is a wasteful number, since it uses less digits than its factorization.

132318708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 132318708480 in words is "one hundred thirty-two billion, three hundred eighteen million, seven hundred eight thousand, four hundred eighty".