132541728 has 96 divisors (see below), whose sum is σ = 381713472. Its totient is φ = 39936000.

The previous prime is 132541693. The next prime is 132541729. The reversal of 132541728 is 827145231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×132541728² = 35134619322451968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132541729) 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, 330328 + ... + 330728.

It is an arithmetic number, because the mean of its divisors is an integer number (3976182).

Almost surely, 2^132541728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132541728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190856736).

132541728 is an abundant number, since it is smaller than the sum of its proper divisors (249171744).

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

132541728 is a wasteful number, since it uses less digits than its factorization.

132541728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 132541728 is about 11512.6768390327. The cubic root of 132541728 is about 509.8599230832.

Adding to 132541728 its reverse (827145231), we get a palindrome (959686959).

The spelling of 132541728 in words is "one hundred thirty-two million, five hundred forty-one thousand, seven hundred twenty-eight".