132337216 has 84 divisors (see below), whose sum is σ = 301605696. Its totient is φ = 57460480.

The previous prime is 132337157. The next prime is 132337241. The reversal of 132337216 is 612733231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177741 + ... + 178483.

It is an arithmetic number, because the mean of its divisors is an integer number (3590544).

Almost surely, 2^132337216 is an apocalyptic number.

132337216 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 132337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150802848).

132337216 is an abundant number, since it is smaller than the sum of its proper divisors (169268480).

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

132337216 is a wasteful number, since it uses less digits than its factorization.

132337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 779 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 132337216 is about 11503.7913750207. The cubic root of 132337216 is about 509.5975499900.

It can be divided in two parts, 13233 and 7216, that added together give a square (20449 = 143²).

The spelling of 132337216 in words is "one hundred thirty-two million, three hundred thirty-seven thousand, two hundred sixteen".