132881414400 has 1458 divisors, whose sum is σ = 584209268370. Its totient is φ = 28725903360.

The previous prime is 132881414389. The next prime is 132881414401. The reversal of 132881414400 is 4414188231.

It is a happy number.

132881414400 is a `hidden beast` number, since 1 + 32 + 88 + 141 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 955551744 + 131925862656 = 30912^2 + 363216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132881414401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1493049556 + ... + 1493049644.

Almost surely, 2^132881414400 is an apocalyptic number.

132881414400 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 132881414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292104634185).

132881414400 is an abundant number, since it is smaller than the sum of its proper divisors (451327853970).

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

132881414400 is a wasteful number, since it uses less digits than its factorization.

132881414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 132881414400 in words is "one hundred thirty-two billion, eight hundred eighty-one million, four hundred fourteen thousand, four hundred".