132785865216 has 320 divisors, whose sum is σ = 427452284160. Its totient is φ = 40529756160.

The previous prime is 132785865209. The next prime is 132785865239. The reversal of 132785865216 is 612568587231.

132785865216 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 8 + 586 + 52 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8687661 + ... + 8702931.

It is an arithmetic number, because the mean of its divisors is an integer number (1335788388).

Almost surely, 2^132785865216 is an apocalyptic number.

132785865216 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 132785865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213726142080).

132785865216 is an abundant number, since it is smaller than the sum of its proper divisors (294666418944).

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

132785865216 is a wasteful number, since it uses less digits than its factorization.

132785865216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15352 (or 15330 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

It can be divided in two parts, 132785 and 865216, that added together give a square (998001 = 999²).

The spelling of 132785865216 in words is "one hundred thirty-two billion, seven hundred eighty-five million, eight hundred sixty-five thousand, two hundred sixteen".