134406604800 has 1008 divisors, whose sum is σ = 540018444420. Its totient is φ = 32965263360.

The previous prime is 134406604781. The next prime is 134406604811. The reversal of 134406604800 is 8406604431.

134406604800 is a `hidden beast` number, since 1 + 3 + 4 + 40 + 6 + 604 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9532007424 + 124874597376 = 97632^2 + 353376^2 .

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 83 ways as a sum of consecutive naturals, for example, 485222262 + ... + 485222538.

Almost surely, 2^134406604800 is an apocalyptic number.

134406604800 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 134406604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270009222210).

134406604800 is an abundant number, since it is smaller than the sum of its proper divisors (405611839620).

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

134406604800 is an equidigital number, since it uses as much as digits as its factorization.

134406604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 134406604800 in words is "one hundred thirty-four billion, four hundred six million, six hundred four thousand, eight hundred".