133844400 has 300 divisors, whose sum is σ = 510706152. Its totient is φ = 33592320.

The previous prime is 133844393. The next prime is 133844401. The reversal of 133844400 is 4448331.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×133844400² = 35828646822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133844401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7873192 + ... + 7873208.

Almost surely, 2^133844400 is an apocalyptic number.

133844400 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 133844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255353076).

133844400 is an abundant number, since it is smaller than the sum of its proper divisors (376861752).

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

133844400 is an frugal number, since it uses more digits than its factorization.

133844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 133844400 is about 11569.1140542394. The cubic root of 133844400 is about 511.5248480804.

The spelling of 133844400 in words is "one hundred thirty-three million, eight hundred forty-four thousand, four hundred".