133414400 has 120 divisors (see below), whose sum is σ = 378018960. Its totient is φ = 45711360.

The previous prime is 133414397. The next prime is 133414417. The reversal of 133414400 is 4414331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88856 + ... + 90344.

It is an arithmetic number, because the mean of its divisors is an integer number (3150158).

Almost surely, 2^133414400 is an apocalyptic number.

133414400 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 133414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189009480).

133414400 is an abundant number, since it is smaller than the sum of its proper divisors (244604560).

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

133414400 is an equidigital number, since it uses as much as digits as its factorization.

133414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 133414400 is about 11550.5151400273. The cubic root of 133414400 is about 510.9764708715.

Adding to 133414400 its reverse (4414331), we get a palindrome (137828731).

The spelling of 133414400 in words is "one hundred thirty-three million, four hundred fourteen thousand, four hundred".