133224250322400 has 144 divisors (see below), whose sum is σ = 459153460516464. Its totient is φ = 33436674580480.

The previous prime is 133224250322399. The next prime is 133224250322441. The reversal of 133224250322400 is 4223052422331.

It is a congruent number.

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, 1632609327 + ... + 1632690926.

It is an arithmetic number, because the mean of its divisors is an integer number (3188565698031).

Almost surely, 2^{133224250322400} is an apocalyptic number.

133224250322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133224250322400 is an abundant number, since it is smaller than the sum of its proper divisors (325929210194064).

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

133224250322400 is a wasteful number, since it uses less digits than its factorization.

133224250322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265300293 (or 3265300280 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 133224250322400 in words is "one hundred thirty-three trillion, two hundred twenty-four billion, two hundred fifty million, three hundred twenty-two thousand, four hundred".