133000412400 has 360 divisors, whose sum is σ = 482918414160. Its totient is φ = 35150008320.

The previous prime is 133000412353. The next prime is 133000412401. The reversal of 133000412400 is 4214000331.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133000412401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10977546 + ... + 10989654.

Almost surely, 2^133000412400 is an apocalyptic number.

133000412400 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 133000412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241459207080).

133000412400 is an abundant number, since it is smaller than the sum of its proper divisors (349918001760).

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

133000412400 is a wasteful number, since it uses less digits than its factorization.

133000412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12255 (or 12232 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 133000412400 its reverse (4214000331), we get a palindrome (137214412731).

The spelling of 133000412400 in words is "one hundred thirty-three billion, four hundred twelve thousand, four hundred".