134204428800 has 720 divisors, whose sum is σ = 536543367360. Its totient is φ = 33024983040.

The previous prime is 134204428793. The next prime is 134204428801. The reversal of 134204428800 is 8824402431.

134204428800 is a `hidden beast` number, since 134 + 2 + 0 + 442 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (134204428801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40433541 + ... + 40436859.

Almost surely, 2^134204428800 is an apocalyptic number.

134204428800 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 134204428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268271683680).

134204428800 is an abundant number, since it is smaller than the sum of its proper divisors (402338938560).

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

134204428800 is an equidigital number, since it uses as much as digits as its factorization.

134204428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 134204428800 in words is "one hundred thirty-four billion, two hundred four million, four hundred twenty-eight thousand, eight hundred".