126132 has 24 divisors (see below), whose sum is σ = 307776. Its totient is φ = 40128.

The previous prime is 126131. The next prime is 126143. The reversal of 126132 is 231621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126131) 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, 48 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (12824).

2¹²⁶¹³² is an apocalyptic number.

126132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153888).

126132 is an abundant number, since it is smaller than the sum of its proper divisors (181644).

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

126132 is a wasteful number, since it uses less digits than its factorization.

126132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

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

The square root of 126132 is about 355.1506722505. The cubic root of 126132 is about 50.1504799944.

Adding to 126132 its reverse (231621), we get a palindrome (357753).

The spelling of 126132 in words is "one hundred twenty-six thousand, one hundred thirty-two".