132803712 has 80 divisors (see below), whose sum is σ = 395252550. Its totient is φ = 44264448.

The previous prime is 132803707. The next prime is 132803777. The reversal of 132803712 is 217308231.

132803712 is a `hidden beast` number, since 13 + 280 + 371 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121352256 + 11451456 = 11016^2 + 3384^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 9 ways as a sum of consecutive naturals, for example, 3964 + ... + 16772.

Almost surely, 2^132803712 is an apocalyptic number.

132803712 is a gapful number since it is divisible by the number (12) 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 132803712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197626275).

132803712 is an abundant number, since it is smaller than the sum of its proper divisors (262448838).

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

132803712 is an equidigital number, since it uses as much as digits as its factorization.

132803712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12835 (or 12814 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 132803712 is about 11524.0492883361. The cubic root of 132803712 is about 510.1956342883.

The spelling of 132803712 in words is "one hundred thirty-two million, eight hundred three thousand, seven hundred twelve".