132628 has 12 divisors (see below), whose sum is σ = 235872. Its totient is φ = 65240.

The previous prime is 132623. The next prime is 132631. The reversal of 132628 is 826231.

It is a d-powerful number, because it can be written as 1 + 3⁵ + 6⁴ + 2³ + 2¹⁷ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 132599 and 132608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132623) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2¹³²⁶²⁸ is an apocalyptic number.

It is an amenable number.

132628 is a deficient number, since it is larger than the sum of its proper divisors (103244).

132628 is a wasteful number, since it uses less digits than its factorization.

132628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 540 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 132628 is about 364.1812735438. The cubic root of 132628 is about 50.9970522454.

Adding to 132628 its reverse (826231), we get a palindrome (958859).

It can be divided in two parts, 1326 and 28, that multiplied together give a triangular number (37128 = T₂₇₂).

The spelling of 132628 in words is "one hundred thirty-two thousand, six hundred twenty-eight".