134808055200 has 2592 divisors, whose sum is σ = 669050928000. Its totient is φ = 25360957440.

The previous prime is 134808055163. The next prime is 134808055229. The reversal of 134808055200 is 2550808431.

It is a happy number.

134808055200 is a `hidden beast` number, since 13 + 48 + 0 + 80 + 5 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7095160791 + ... + 7095160809.

It is an arithmetic number, because the mean of its divisors is an integer number (258121500).

Almost surely, 2^134808055200 is an apocalyptic number.

134808055200 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 134808055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334525464000).

134808055200 is an abundant number, since it is smaller than the sum of its proper divisors (534242872800).

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

134808055200 is a wasteful number, since it uses less digits than its factorization.

134808055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 134808055200 in words is "one hundred thirty-four billion, eight hundred eight million, fifty-five thousand, two hundred".