132688 has 10 divisors (see below), whose sum is σ = 257114. Its totient is φ = 66336.

The previous prime is 132679. The next prime is 132689. The reversal of 132688 is 886231.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 35344 = 312^2 + 188^2 .

It is a super-2 number, since 2×132688² = 35212210688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132689) by changing a digit.

132688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4131 + ... + 4162.

2¹³²⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

132688 is a deficient number, since it is larger than the sum of its proper divisors (124426).

132688 is an equidigital number, since it uses as much as digits as its factorization.

132688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8301 (or 8295 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 132688 is about 364.2636407878. The cubic root of 132688 is about 51.0047413252.

It can be divided in two parts, 132 and 688, that added together give a triangular number (820 = T₄₀).

The spelling of 132688 in words is "one hundred thirty-two thousand, six hundred eighty-eight".