132496728 has 256 divisors, whose sum is σ = 447283200. Its totient is φ = 31726080.

The previous prime is 132496723. The next prime is 132496729. The reversal of 132496728 is 827694231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 132496728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132496723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1286325 + ... + 1286427.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^132496728 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 132496728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223641600).

132496728 is an abundant number, since it is smaller than the sum of its proper divisors (314786472).

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

132496728 is a wasteful number, since it uses less digits than its factorization.

132496728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 132496728 is about 11510.7223057461. The cubic root of 132496728 is about 509.8022147323.

The spelling of 132496728 in words is "one hundred thirty-two million, four hundred ninety-six thousand, seven hundred twenty-eight".