133435031242400 has 144 divisors (see below), whose sum is σ = 327392912012544. Its totient is φ = 53104806266880.

The previous prime is 133435031242391. The next prime is 133435031242423. The reversal of 133435031242400 is 4242130534331.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 318591524 + ... + 319010076.

It is an arithmetic number, because the mean of its divisors is an integer number (2273561888976).

Almost surely, 2^{133435031242400} is an apocalyptic number.

133435031242400 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 133435031242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163696456006272).

133435031242400 is an abundant number, since it is smaller than the sum of its proper divisors (193957880770144).

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

133435031242400 is a wasteful number, since it uses less digits than its factorization.

133435031242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420583 (or 420570 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 133435031242400 its reverse (4242130534331), we get a palindrome (137677161776731).

The spelling of 133435031242400 in words is "one hundred thirty-three trillion, four hundred thirty-five billion, thirty-one million, two hundred forty-two thousand, four hundred".