132285436416 has 480 divisors, whose sum is σ = 461319312960. Its totient is φ = 37780162560.

The previous prime is 132285436397. The next prime is 132285436477. The reversal of 132285436416 is 614634582231.

132285436416 is a `hidden beast` number, since 1 + 3 + 2 + 285 + 4 + 364 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54866251 + ... + 54868661.

It is an arithmetic number, because the mean of its divisors is an integer number (961081902).

Almost surely, 2^132285436416 is an apocalyptic number.

132285436416 is a gapful number since it is divisible by the number (16) 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 132285436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230659656480).

132285436416 is an abundant number, since it is smaller than the sum of its proper divisors (329033876544).

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

132285436416 is an frugal number, since it uses more digits than its factorization.

132285436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2423 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 132285436416 in words is "one hundred thirty-two billion, two hundred eighty-five million, four hundred thirty-six thousand, four hundred sixteen".