133214430400 has 84 divisors (see below), whose sum is σ = 329754238128. Its totient is φ = 52966589440.

The previous prime is 133214430353. The next prime is 133214430413. The reversal of 133214430400 is 4034412331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17922 + ... + 516478.

It is an arithmetic number, because the mean of its divisors is an integer number (3925645692).

Almost surely, 2^133214430400 is an apocalyptic number.

133214430400 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 133214430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164877119064).

133214430400 is an abundant number, since it is smaller than the sum of its proper divisors (196539807728).

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

133214430400 is a wasteful number, since it uses less digits than its factorization.

133214430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498746 (or 498731 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 133214430400 its reverse (4034412331), we get a palindrome (137248842731).

The spelling of 133214430400 in words is "one hundred thirty-three billion, two hundred fourteen million, four hundred thirty thousand, four hundred".