132355728 has 80 divisors (see below), whose sum is σ = 382614400. Its totient is φ = 43804800.

The previous prime is 132355723. The next prime is 132355747. The reversal of 132355728 is 827553231.

It is a happy number.

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 = 132355692 and 132355701.

It is not an unprimeable number, because it can be changed into a prime (132355723) 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, 64218 + ... + 66246.

It is an arithmetic number, because the mean of its divisors is an integer number (4782680).

Almost surely, 2^132355728 is an apocalyptic number.

132355728 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 132355728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191307200).

132355728 is an abundant number, since it is smaller than the sum of its proper divisors (250258672).

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

132355728 is a wasteful number, since it uses less digits than its factorization.

132355728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2185 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 132355728 is about 11504.5959511840. The cubic root of 132355728 is about 509.6213105775.

The spelling of 132355728 in words is "one hundred thirty-two million, three hundred fifty-five thousand, seven hundred twenty-eight".