133512400224 has 192 divisors, whose sum is σ = 445577932800. Its totient is φ = 38100409344.

The previous prime is 133512400199. The next prime is 133512400247. The reversal of 133512400224 is 422004215331.

133512400224 is a `hidden beast` number, since 1 + 3 + 35 + 1 + 2 + 400 + 224 = 666.

133512400224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133512400224² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5170257 + ... + 5196015.

It is an arithmetic number, because the mean of its divisors is an integer number (2320718400).

Almost surely, 2^133512400224 is an apocalyptic number.

133512400224 is a gapful number since it is divisible by the number (14) 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 133512400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222788966400).

133512400224 is an abundant number, since it is smaller than the sum of its proper divisors (312065532576).

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

133512400224 is a wasteful number, since it uses less digits than its factorization.

133512400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26642 (or 26628 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 133512400224 its reverse (422004215331), we get a palindrome (555516615555).

The spelling of 133512400224 in words is "one hundred thirty-three billion, five hundred twelve million, four hundred thousand, two hundred twenty-four".