134668445760 has 672 divisors, whose sum is σ = 512910807552. Its totient is φ = 32286965760.

The previous prime is 134668445749. The next prime is 134668445767. The reversal of 134668445760 is 67544866431.

134668445760 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 68 + 4 + 4 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 134668445697 and 134668445706.

It is not an unprimeable number, because it can be changed into a prime (134668445767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98947480 + ... + 98948840.

Almost surely, 2^134668445760 is an apocalyptic number.

134668445760 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 134668445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256455403776).

134668445760 is an abundant number, since it is smaller than the sum of its proper divisors (378242361792).

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

134668445760 is a wasteful number, since it uses less digits than its factorization.

134668445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 134668445760 in words is "one hundred thirty-four billion, six hundred sixty-eight million, four hundred forty-five thousand, seven hundred sixty".