132287828400 has 1920 divisors, whose sum is σ = 614793984000. Its totient is φ = 26824089600.

The previous prime is 132287828389. The next prime is 132287828401. The reversal of 132287828400 is 4828782231.

132287828400 is a `hidden beast` number, since 13 + 228 + 7 + 8 + 2 + 8 + 400 = 666.

132287828400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (132287828401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1974445167 + ... + 1974445233.

It is an arithmetic number, because the mean of its divisors is an integer number (320205200).

Almost surely, 2^132287828400 is an apocalyptic number.

132287828400 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 132287828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307396992000).

132287828400 is an abundant number, since it is smaller than the sum of its proper divisors (482506155600).

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

132287828400 is a wasteful number, since it uses less digits than its factorization.

132287828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 132287828400 in words is "one hundred thirty-two billion, two hundred eighty-seven million, eight hundred twenty-eight thousand, four hundred".