132310281600 has 768 divisors, whose sum is σ = 571325337600. Its totient is φ = 29262643200.

The previous prime is 132310281577. The next prime is 132310281601. The reversal of 132310281600 is 6182013231.

It is a happy number.

132310281600 is a `hidden beast` number, since 1 + 3 + 2 + 31 + 0 + 28 + 1 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132310281601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18745272 + ... + 18752328.

It is an arithmetic number, because the mean of its divisors is an integer number (743913200).

Almost surely, 2^132310281600 is an apocalyptic number.

132310281600 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 132310281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285662668800).

132310281600 is an abundant number, since it is smaller than the sum of its proper divisors (439015056000).

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

132310281600 is a wasteful number, since it uses less digits than its factorization.

132310281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 132310281600 its reverse (6182013231), we get a palindrome (138492294831).

The spelling of 132310281600 in words is "one hundred thirty-two billion, three hundred ten million, two hundred eighty-one thousand, six hundred".