133220204400 has 240 divisors, whose sum is σ = 445784682240. Its totient is φ = 33944064000.

The previous prime is 133220204399. The next prime is 133220204401. The reversal of 133220204400 is 4402022331.

It is an interprime number because it is at equal distance from previous prime (133220204399) and next prime (133220204401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133220204401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33145591 + ... + 33149609.

It is an arithmetic number, because the mean of its divisors is an integer number (1857436176).

Almost surely, 2^133220204400 is an apocalyptic number.

133220204400 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 133220204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222892341120).

133220204400 is an abundant number, since it is smaller than the sum of its proper divisors (312564477840).

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

133220204400 is a wasteful number, since it uses less digits than its factorization.

133220204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 133220204400 its reverse (4402022331), we get a palindrome (137622226731).

The spelling of 133220204400 in words is "one hundred thirty-three billion, two hundred twenty million, two hundred four thousand, four hundred".