134016784200 has 576 divisors, whose sum is σ = 514439365440. Its totient is φ = 32215034880.

The previous prime is 134016784147. The next prime is 134016784217. The reversal of 134016784200 is 2487610431.

134016784200 is digitally balanced in base 7, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27164934 + ... + 27169866.

Almost surely, 2^134016784200 is an apocalyptic number.

134016784200 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 134016784200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257219682720).

134016784200 is an abundant number, since it is smaller than the sum of its proper divisors (380422581240).

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

134016784200 is a wasteful number, since it uses less digits than its factorization.

134016784200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 134016784200 in words is "one hundred thirty-four billion, sixteen million, seven hundred eighty-four thousand, two hundred".