132884400 has 120 divisors (see below), whose sum is σ = 464416704. Its totient is φ = 32211200.

The previous prime is 132884371. The next prime is 132884419. The reversal of 132884400 is 4488231.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8167 + ... + 18233.

Almost surely, 2^132884400 is an apocalyptic number.

132884400 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 132884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232208352).

132884400 is an abundant number, since it is smaller than the sum of its proper divisors (331532304).

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

132884400 is a wasteful number, since it uses less digits than its factorization.

132884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099 (or 10088 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 132884400 is about 11527.5496095224. The cubic root of 132884400 is about 510.2989404642.

The spelling of 132884400 in words is "one hundred thirty-two million, eight hundred eighty-four thousand, four hundred".