134804908800 has 648 divisors, whose sum is σ = 521943208080. Its totient is φ = 34040217600.

The previous prime is 134804908787. The next prime is 134804908801. The reversal of 134804908800 is 8809408431.

134804908800 is a `hidden beast` number, since 1 + 3 + 4 + 80 + 490 + 8 + 80 + 0 = 666.

134804908800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (134804908801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62379720 + ... + 62381880.

Almost surely, 2^134804908800 is an apocalyptic number.

134804908800 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 134804908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260971604040).

134804908800 is an abundant number, since it is smaller than the sum of its proper divisors (387138299280).

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

134804908800 is a wasteful number, since it uses less digits than its factorization.

134804908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 134804908800 in words is "one hundred thirty-four billion, eight hundred four million, nine hundred eight thousand, eight hundred".