132885567360 has 1280 divisors, whose sum is σ = 618802208640. Its totient is φ = 26372210688.

The previous prime is 132885567323. The next prime is 132885567403. The reversal of 132885567360 is 63765588231.

132885567360 is a `hidden beast` number, since 1 + 3 + 2 + 88 + 556 + 7 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 132885567297 and 132885567306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80195652 + ... + 80197308.

Almost surely, 2^132885567360 is an apocalyptic number.

132885567360 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 132885567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309401104320).

132885567360 is an abundant number, since it is smaller than the sum of its proper divisors (485916641280).

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

132885567360 is a wasteful number, since it uses less digits than its factorization.

132885567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 132885567360 in words is "one hundred thirty-two billion, eight hundred eighty-five million, five hundred sixty-seven thousand, three hundred sixty".