132814728 has 80 divisors (see below), whose sum is σ = 376017180. Its totient is φ = 43794432.

The previous prime is 132814699. The next prime is 132814741. The reversal of 132814728 is 827418231.

It can be written as a sum of positive squares in 2 ways, for example, as 112402404 + 20412324 = 10602^2 + 4518^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132814692 and 132814701.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61800 + ... + 63912.

Almost surely, 2^132814728 is an apocalyptic number.

132814728 is a gapful number since it is divisible by the number (18) 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 132814728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188008590).

132814728 is an abundant number, since it is smaller than the sum of its proper divisors (243202452).

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

132814728 is a wasteful number, since it uses less digits than its factorization.

132814728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2215 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 132814728 is about 11524.5272354227. The cubic root of 132814728 is about 510.2097407206.

The spelling of 132814728 in words is "one hundred thirty-two million, eight hundred fourteen thousand, seven hundred twenty-eight".