133613222400 has 720 divisors, whose sum is σ = 554854707264. Its totient is φ = 30072176640.

The previous prime is 133613222387. The next prime is 133613222417. The reversal of 133613222400 is 4222316331.

133613222400 is a `hidden beast` number, since 1 + 3 + 3 + 613 + 2 + 2 + 2 + 40 + 0 = 666.

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

It is a super-2 number, since 2×133613222400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54027564 + ... + 54030036.

Almost surely, 2^133613222400 is an apocalyptic number.

133613222400 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 133613222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277427353632).

133613222400 is an abundant number, since it is smaller than the sum of its proper divisors (421241484864).

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

133613222400 is a wasteful number, since it uses less digits than its factorization.

133613222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133613222400 its reverse (4222316331), we get a palindrome (137835538731).

The spelling of 133613222400 in words is "one hundred thirty-three billion, six hundred thirteen million, two hundred twenty-two thousand, four hundred".