133281716400 has 720 divisors, whose sum is σ = 552611963904. Its totient is φ = 29111685120.

The previous prime is 133281716389. The next prime is 133281716413. The reversal of 133281716400 is 4617182331.

It is a happy number.

133281716400 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 8 + 1 + 7 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50927892 + ... + 50930508.

Almost surely, 2^133281716400 is an apocalyptic number.

133281716400 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 133281716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276305981952).

133281716400 is an abundant number, since it is smaller than the sum of its proper divisors (419330247504).

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

133281716400 is a wasteful number, since it uses less digits than its factorization.

133281716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 133281716400 its reverse (4617182331), we get a palindrome (137898898731).

The spelling of 133281716400 in words is "one hundred thirty-three billion, two hundred eighty-one million, seven hundred sixteen thousand, four hundred".