134809012800 has 2352 divisors, whose sum is σ = 660962457600. Its totient is φ = 26202009600.

The previous prime is 134809012771. The next prime is 134809012817. The reversal of 134809012800 is 8210908431.

134809012800 is a `hidden beast` number, since 1 + 3 + 480 + 90 + 12 + 80 + 0 = 666.

It is a super-2 number, since 2×134809012800² (a number of 23 digits) contains 22 as substring.

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 335 ways as a sum of consecutive naturals, for example, 1706443161 + ... + 1706443239.

Almost surely, 2^134809012800 is an apocalyptic number.

134809012800 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 134809012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330481228800).

134809012800 is an abundant number, since it is smaller than the sum of its proper divisors (526153444800).

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

134809012800 is a wasteful number, since it uses less digits than its factorization.

134809012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 134809012800 in words is "one hundred thirty-four billion, eight hundred nine million, twelve thousand, eight hundred".