134474376960 has 864 divisors, whose sum is σ = 605655187200. Its totient is φ = 27938856960.

The previous prime is 134474376941. The next prime is 134474377013. The reversal of 134474376960 is 69673474431.

134474376960 is a `hidden beast` number, since 1 + 3 + 447 + 43 + 76 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 134474376897 and 134474376906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18624231 + ... + 18631449.

It is an arithmetic number, because the mean of its divisors is an integer number (700989800).

Almost surely, 2^134474376960 is an apocalyptic number.

134474376960 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 134474376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302827593600).

134474376960 is an abundant number, since it is smaller than the sum of its proper divisors (471180810240).

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

134474376960 is a wasteful number, since it uses less digits than its factorization.

134474376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 134474376960 in words is "one hundred thirty-four billion, four hundred seventy-four million, three hundred seventy-six thousand, nine hundred sixty".