134646356044200 has 768 divisors, whose sum is σ = 569617682135040. Its totient is φ = 25402885632000.

The previous prime is 134646356044169. The next prime is 134646356044219. The reversal of 134646356044200 is 2440653646431.

It is a self number, because there is not a number n which added to its sum of digits gives 134646356044200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34799007 + ... + 38474193.

It is an arithmetic number, because the mean of its divisors is an integer number (741689690280).

Almost surely, 2^{134646356044200} is an apocalyptic number.

134646356044200 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 134646356044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284808841067520).

134646356044200 is an abundant number, since it is smaller than the sum of its proper divisors (434971326090840).

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

134646356044200 is a wasteful number, since it uses less digits than its factorization.

134646356044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675298 (or 3675289 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 134646356044200 in words is "one hundred thirty-four trillion, six hundred forty-six billion, three hundred fifty-six million, forty-four thousand, two hundred".