132728064 has 108 divisors (see below), whose sum is σ = 411040224. Its totient is φ = 37911552.

The previous prime is 132728051. The next prime is 132728069. The reversal of 132728064 is 460827231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132728069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35869 + ... + 39395.

It is an arithmetic number, because the mean of its divisors is an integer number (3805928).

Almost surely, 2^132728064 is an apocalyptic number.

132728064 is a gapful number since it is divisible by the number (14) 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 132728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205520112).

132728064 is an abundant number, since it is smaller than the sum of its proper divisors (278312160).

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

132728064 is an equidigital number, since it uses as much as digits as its factorization.

132728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 132728064 is about 11520.7666411572. The cubic root of 132728064 is about 510.0987428954.

The spelling of 132728064 in words is "one hundred thirty-two million, seven hundred twenty-eight thousand, sixty-four".