66126132 has 48 divisors (see below), whose sum is σ = 173577600. Its totient is φ = 22039128.

The previous prime is 66126097. The next prime is 66126143. The reversal of 66126132 is 23162166.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 66126096 and 66126105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4969 + ... + 12527.

It is an arithmetic number, because the mean of its divisors is an integer number (3616200).

Almost surely, 2^66126132 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 66126132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86788800).

66126132 is an abundant number, since it is smaller than the sum of its proper divisors (107451468).

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

66126132 is an equidigital number, since it uses as much as digits as its factorization.

66126132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7564 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 66126132 is about 8131.7975872497. The cubic root of 66126132 is about 404.3812774750.

Adding to 66126132 its reverse (23162166), we get a palindrome (89288298).

The spelling of 66126132 in words is "sixty-six million, one hundred twenty-six thousand, one hundred thirty-two".