133223141242400 has 1152 divisors, whose sum is σ = 399628017169920. Its totient is φ = 42772561920000.

The previous prime is 133223141242381. The next prime is 133223141242421. The reversal of 133223141242400 is 4242141322331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37879765442 + ... + 37879768958.

It is an arithmetic number, because the mean of its divisors is an integer number (346899320460).

Almost surely, 2^{133223141242400} is an apocalyptic number.

133223141242400 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 133223141242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199814008584960).

133223141242400 is an abundant number, since it is smaller than the sum of its proper divisors (266404875927520).

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

133223141242400 is a wasteful number, since it uses less digits than its factorization.

133223141242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 133223141242400 its reverse (4242141322331), we get a palindrome (137465282564731).

The spelling of 133223141242400 in words is "one hundred thirty-three trillion, two hundred twenty-three billion, one hundred forty-one million, two hundred forty-two thousand, four hundred".