133688217600 has 1872 divisors, whose sum is σ = 616040785152. Its totient is φ = 26990346240.

The previous prime is 133688217599. The next prime is 133688217613. The reversal of 133688217600 is 6712886331.

133688217600 is a `hidden beast` number, since 1 + 3 + 36 + 8 + 8 + 2 + 1 + 7 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2522419174 + ... + 2522419226.

It is an arithmetic number, because the mean of its divisors is an integer number (329081616).

Almost surely, 2^133688217600 is an apocalyptic number.

133688217600 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 133688217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308020392576).

133688217600 is an abundant number, since it is smaller than the sum of its proper divisors (482352567552).

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

133688217600 is a wasteful number, since it uses less digits than its factorization.

133688217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 133688217600 in words is "one hundred thirty-three billion, six hundred eighty-eight million, two hundred seventeen thousand, six hundred".