132873216 has 176 divisors, whose sum is σ = 418177536. Its totient is φ = 36716544.

The previous prime is 132873187. The next prime is 132873217. The reversal of 132873216 is 612378231.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (12096) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132873217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795565 + ... + 795731.

Almost surely, 2^132873216 is an apocalyptic number.

132873216 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 132873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209088768).

132873216 is an abundant number, since it is smaller than the sum of its proper divisors (285304320).

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

132873216 is a wasteful number, since it uses less digits than its factorization.

132873216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 132873216 is about 11527.0645005569. The cubic root of 132873216 is about 510.2846239017.

The spelling of 132873216 in words is "one hundred thirty-two million, eight hundred seventy-three thousand, two hundred sixteen".