134727894112320 has 896 divisors, whose sum is σ = 494357891973120. Its totient is φ = 34951042750464.

The previous prime is 134727894112289. The next prime is 134727894112333. The reversal of 134727894112320 is 23211498727431.

134727894112320 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 278 + 9 + 41 + 1 + 2 + 320 = 666.

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 127 ways as a sum of consecutive naturals, for example, 5493031897 + ... + 5493056423.

It is an arithmetic number, because the mean of its divisors is an integer number (551738718720).

Almost surely, 2^{134727894112320} is an apocalyptic number.

134727894112320 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 134727894112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247178945986560).

134727894112320 is an abundant number, since it is smaller than the sum of its proper divisors (359629997860800).

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

134727894112320 is an equidigital number, since it uses as much as digits as its factorization.

134727894112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24779 (or 24751 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 134727894112320 in words is "one hundred thirty-four trillion, seven hundred twenty-seven billion, eight hundred ninety-four million, one hundred twelve thousand, three hundred twenty".