132871728 has 160 divisors (see below), whose sum is σ = 403045632. Its totient is φ = 37273600.

The previous prime is 132871727. The next prime is 132871747. The reversal of 132871728 is 827178231.

It is a Cunningham number, because it is equal to 11527²-1.

It is a super-2 number, since 2×132871728² = 35309792203411968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132871721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014223 + ... + 1014353.

Almost surely, 2^132871728 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 132871728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201522816).

132871728 is an abundant number, since it is smaller than the sum of its proper divisors (270173904).

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

132871728 is a wasteful number, since it uses less digits than its factorization.

132871728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 132871728 is about 11526.9999566236. Note that the first 4 decimals coincide. The cubic root of 132871728 is about 510.2827190624.

It can be divided in two parts, 132 and 871728, that added together give a triangular number (871860 = T₁₃₂₀).

The spelling of 132871728 in words is "one hundred thirty-two million, eight hundred seventy-one thousand, seven hundred twenty-eight".