134199145267200 has 4320 divisors, whose sum is σ = 594698868086400. Its totient is φ = 29598028922880.

The previous prime is 134199145267183. The next prime is 134199145267357. The reversal of 134199145267200 is 2762541991431.

134199145267200 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 9 + 91 + 4 + 526 + 7 + 20 + 0 = 666.

134199145267200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1507855564756 + ... + 1507855564844.

It is an arithmetic number, because the mean of its divisors is an integer number (137661775020).

Almost surely, 2^{134199145267200} is an apocalyptic number.

134199145267200 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 134199145267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297349434043200).

134199145267200 is an abundant number, since it is smaller than the sum of its proper divisors (460499722819200).

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

134199145267200 is an equidigital number, since it uses as much as digits as its factorization.

134199145267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 134199145267200 in words is "one hundred thirty-four trillion, one hundred ninety-nine billion, one hundred forty-five million, two hundred sixty-seven thousand, two hundred".