133121434200 has 288 divisors, whose sum is σ = 450249270000. Its totient is φ = 32506306560.

The previous prime is 133121434153. The next prime is 133121434393. The reversal of 133121434200 is 2434121331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 71 ways as a sum of consecutive naturals, for example, 6405426 + ... + 6426174.

Almost surely, 2^133121434200 is an apocalyptic number.

133121434200 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 133121434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225124635000).

133121434200 is an abundant number, since it is smaller than the sum of its proper divisors (317127835800).

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

133121434200 is a wasteful number, since it uses less digits than its factorization.

133121434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20839 (or 20813 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133121434200 its reverse (2434121331), we get a palindrome (135555555531).

The spelling of 133121434200 in words is "one hundred thirty-three billion, one hundred twenty-one million, four hundred thirty-four thousand, two hundred".