133794400 has 144 divisors (see below), whose sum is σ = 346852800. Its totient is φ = 50319360.

The previous prime is 133794379. The next prime is 133794407. The reversal of 133794400 is 4497331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133794407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1693561 + ... + 1693639.

It is an arithmetic number, because the mean of its divisors is an integer number (2408700).

Almost surely, 2^133794400 is an apocalyptic number.

133794400 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 133794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173426400).

133794400 is an abundant number, since it is smaller than the sum of its proper divisors (213058400).

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

133794400 is a wasteful number, since it uses less digits than its factorization.

133794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 133794400 is about 11566.9529263328. The cubic root of 133794400 is about 511.4611436896.

The spelling of 133794400 in words is "one hundred thirty-three million, seven hundred ninety-four thousand, four hundred".