132726828 has 48 divisors (see below), whose sum is σ = 334559456. Its totient is φ = 40711680.

The previous prime is 132726809. The next prime is 132726829. The reversal of 132726828 is 828627231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (132726829) 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, 57048 + ... + 59328.

Almost surely, 2^132726828 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 132726828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167279728).

132726828 is an abundant number, since it is smaller than the sum of its proper divisors (201832628).

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

132726828 is a wasteful number, since it uses less digits than its factorization.

132726828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2672 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 132726828 is about 11520.7129987688. The cubic root of 132726828 is about 510.0971594975.

It can be divided in two parts, 13272 and 6828, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 132726828 in words is "one hundred thirty-two million, seven hundred twenty-six thousand, eight hundred twenty-eight".