134609664000 has 960 divisors, whose sum is σ = 529643106720. Its totient is φ = 30346444800.

The previous prime is 134609663833. The next prime is 134609664043. The reversal of 134609664000 is 466906431.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 134609664000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1843967964 + ... + 1843968036.

Almost surely, 2^134609664000 is an apocalyptic number.

134609664000 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 134609664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264821553360).

134609664000 is an abundant number, since it is smaller than the sum of its proper divisors (395033442720).

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

134609664000 is an frugal number, since it uses more digits than its factorization.

134609664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 134609664000 in words is "one hundred thirty-four billion, six hundred nine million, six hundred sixty-four thousand".