132742200 has 96 divisors (see below), whose sum is σ = 429436800. Its totient is φ = 33855360.

The previous prime is 132742187. The next prime is 132742201. The reversal of 132742200 is 2247231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132742201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8991 + ... + 18609.

It is an arithmetic number, because the mean of its divisors is an integer number (4473300).

Almost surely, 2^132742200 is an apocalyptic number.

132742200 is a gapful number since it is divisible by the number (10) 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 132742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214718400).

132742200 is an abundant number, since it is smaller than the sum of its proper divisors (296694600).

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

132742200 is a wasteful number, since it uses less digits than its factorization.

132742200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661 (or 9652 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 132742200 is about 11521.3801256620. The cubic root of 132742200 is about 510.1168513487.

Adding to 132742200 its reverse (2247231), we get a palindrome (134989431).

The spelling of 132742200 in words is "one hundred thirty-two million, seven hundred forty-two thousand, two hundred".