66132300 has 144 divisors (see below), whose sum is σ = 213097472. Its totient is φ = 15724800.

The previous prime is 66132281. The next prime is 66132307. The reversal of 66132300 is 323166.

66132300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66132300² = 8746962206580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66132307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120627 + ... + 121173.

Almost surely, 2^66132300 is an apocalyptic number.

66132300 is a gapful number since it is divisible by the number (60) 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 66132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106548736).

66132300 is an abundant number, since it is smaller than the sum of its proper divisors (146965172).

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

66132300 is a wasteful number, since it uses less digits than its factorization.

66132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 66132300 is about 8132.1768303450. The cubic root of 66132300 is about 404.3938501453.

Adding to 66132300 its reverse (323166), we get a palindrome (66455466).

The spelling of 66132300 in words is "sixty-six million, one hundred thirty-two thousand, three hundred".