132314142200 has 96 divisors (see below), whose sum is σ = 316787224320. Its totient is φ = 51363840000.

The previous prime is 132314142167. The next prime is 132314142203. The reversal of 132314142200 is 2241413231.

It is a super-2 number, since 2×132314142200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132314142203) 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, 1523960 + ... + 1608440.

It is an arithmetic number, because the mean of its divisors is an integer number (3299866920).

Almost surely, 2^132314142200 is an apocalyptic number.

132314142200 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 132314142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158393612160).

132314142200 is an abundant number, since it is smaller than the sum of its proper divisors (184473082120).

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

132314142200 is a wasteful number, since it uses less digits than its factorization.

132314142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84729 (or 84720 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 132314142200 its reverse (2241413231), we get a palindrome (134555555431).

The spelling of 132314142200 in words is "one hundred thirty-two billion, three hundred fourteen million, one hundred forty-two thousand, two hundred".