133284400 has 60 divisors (see below), whose sum is σ = 326309472. Its totient is φ = 52299520.

The previous prime is 133284343. The next prime is 133284409. The reversal of 133284400 is 4482331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133284409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18057 + ... + 24343.

Almost surely, 2^133284400 is an apocalyptic number.

133284400 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 133284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163154736).

133284400 is an abundant number, since it is smaller than the sum of its proper divisors (193025072).

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

133284400 is a wasteful number, since it uses less digits than its factorization.

133284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 133284400 is about 11544.8863138621. The cubic root of 133284400 is about 510.8104504905.

The spelling of 133284400 in words is "one hundred thirty-three million, two hundred eighty-four thousand, four hundred".