134747308092960 has 1536 divisors, whose sum is σ = 515025655603200. Its totient is φ = 32797570498560.

The previous prime is 134747308092907. The next prime is 134747308092973. The reversal of 134747308092960 is 69290803747431.

134747308092960 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 473 + 0 + 80 + 9 + 29 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48072530919 + ... + 48072533721.

It is an arithmetic number, because the mean of its divisors is an integer number (335303161200).

Almost surely, 2^{134747308092960} is an apocalyptic number.

134747308092960 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 134747308092960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257512827801600).

134747308092960 is an abundant number, since it is smaller than the sum of its proper divisors (380278347510240).

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

134747308092960 is a wasteful number, since it uses less digits than its factorization.

134747308092960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 134747308092960 in words is "one hundred thirty-four trillion, seven hundred forty-seven billion, three hundred eight million, ninety-two thousand, nine hundred sixty".