132854400 has 288 divisors, whose sum is σ = 542599200. Its totient is φ = 30320640.

The previous prime is 132854389. The next prime is 132854413. The reversal of 132854400 is 4458231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201271 + ... + 201929.

It is an arithmetic number, because the mean of its divisors is an integer number (1884025).

Almost surely, 2^132854400 is an apocalyptic number.

132854400 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 132854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271299600).

132854400 is an abundant number, since it is smaller than the sum of its proper divisors (409744800).

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

132854400 is a wasteful number, since it uses less digits than its factorization.

132854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132854400 is about 11526.2483054982. The cubic root of 132854400 is about 510.2605358549.

The spelling of 132854400 in words is "one hundred thirty-two million, eight hundred fifty-four thousand, four hundred".