132612 has 24 divisors (see below), whose sum is σ = 317856. Its totient is φ = 43008.

The previous prime is 132611. The next prime is 132619. The reversal of 132612 is 216231.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 132591 and 132600.

It is not an unprimeable number, because it can be changed into a prime (132611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (13244).

2¹³²⁶¹² is an apocalyptic number.

132612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132612 is an abundant number, since it is smaller than the sum of its proper divisors (185244).

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

132612 is a wasteful number, since it uses less digits than its factorization.

132612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 132612 is about 364.1593057990. The cubic root of 132612 is about 50.9950014324.

Adding to 132612 its reverse (216231), we get a palindrome (348843).

The spelling of 132612 in words is "one hundred thirty-two thousand, six hundred twelve".