134312673013200 has 1440 divisors, whose sum is σ = 526310681674752. Its totient is φ = 31433453568000.

The previous prime is 134312673013199. The next prime is 134312673013217. The reversal of 134312673013200 is 2310376213431.

134312673013200 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 26 + 7 + 301 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 135532464705 + ... + 135532465695.

Almost surely, 2^{134312673013200} is an apocalyptic number.

134312673013200 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 134312673013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263155340837376).

134312673013200 is an abundant number, since it is smaller than the sum of its proper divisors (391998008661552).

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

134312673013200 is a wasteful number, since it uses less digits than its factorization.

134312673013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 134312673013200 in words is "one hundred thirty-four trillion, three hundred twelve billion, six hundred seventy-three million, thirteen thousand, two hundred".