133808610700800 has 2400 divisors, whose sum is σ = 587401155348480. Its totient is φ = 29438219059200.

The previous prime is 133808610700777. The next prime is 133808610700801. The reversal of 133808610700800 is 8007016808331.

133808610700800 is a `hidden beast` number, since 13 + 380 + 86 + 107 + 0 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133808610700801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44322161691 + ... + 44322164709.

Almost surely, 2^{133808610700800} is an apocalyptic number.

133808610700800 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 133808610700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293700577674240).

133808610700800 is an abundant number, since it is smaller than the sum of its proper divisors (453592544647680).

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

133808610700800 is a wasteful number, since it uses less digits than its factorization.

133808610700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 133808610700800 in words is "one hundred thirty-three trillion, eight hundred eight billion, six hundred ten million, seven hundred thousand, eight hundred".