133584422400 has 2400 divisors, whose sum is σ = 626611331808. Its totient is φ = 27603763200.

The previous prime is 133584422393. The next prime is 133584422429. The reversal of 133584422400 is 4224485331.

133584422400 is a `hidden beast` number, since 1 + 33 + 584 + 4 + 2 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2520460774 + ... + 2520460826.

Almost surely, 2^133584422400 is an apocalyptic number.

133584422400 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 133584422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313305665904).

133584422400 is an abundant number, since it is smaller than the sum of its proper divisors (493026909408).

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

133584422400 is a wasteful number, since it uses less digits than its factorization.

133584422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 133584422400 in words is "one hundred thirty-three billion, five hundred eighty-four million, four hundred twenty-two thousand, four hundred".