133135228800 has 1344 divisors, whose sum is σ = 583936911360. Its totient is φ = 29337292800.

The previous prime is 133135228763. The next prime is 133135228829. The reversal of 133135228800 is 8822531331.

It is a happy number.

133135228800 is a `hidden beast` number, since 13 + 313 + 52 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 506217469 + ... + 506217731.

Almost surely, 2^133135228800 is an apocalyptic number.

133135228800 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 133135228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291968455680).

133135228800 is an abundant number, since it is smaller than the sum of its proper divisors (450801682560).

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

133135228800 is an equidigital number, since it uses as much as digits as its factorization.

133135228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 133135228800 in words is "one hundred thirty-three billion, one hundred thirty-five million, two hundred twenty-eight thousand, eight hundred".