134993491200 has 648 divisors, whose sum is σ = 517097763000. Its totient is φ = 33478410240.

The previous prime is 134993491189. The next prime is 134993491247. The reversal of 134993491200 is 2194399431.

134993491200 is a `hidden beast` number, since 1 + 3 + 499 + 34 + 9 + 120 + 0 = 666.

134993491200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 47510049024 + 87483442176 = 217968^2 + 295776^2 .

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87148026 + ... + 87149574.

It is an arithmetic number, because the mean of its divisors is an integer number (797990375).

Almost surely, 2^134993491200 is an apocalyptic number.

134993491200 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 134993491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258548881500).

134993491200 is an abundant number, since it is smaller than the sum of its proper divisors (382104271800).

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

134993491200 is a wasteful number, since it uses less digits than its factorization.

134993491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 134993491200 in words is "one hundred thirty-four billion, nine hundred ninety-three million, four hundred ninety-one thousand, two hundred".