134463646080 has 512 divisors, whose sum is σ = 515020032000. Its totient is φ = 33026310144.

The previous prime is 134463646049. The next prime is 134463646081. The reversal of 134463646080 is 80646364431.

It is a happy number.

134463646080 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 6 + 36 + 4 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134463646081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13801851 + ... + 13811589.

It is an arithmetic number, because the mean of its divisors is an integer number (1005898500).

Almost surely, 2^134463646080 is an apocalyptic number.

134463646080 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 134463646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257510016000).

134463646080 is an abundant number, since it is smaller than the sum of its proper divisors (380556385920).

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

134463646080 is a wasteful number, since it uses less digits than its factorization.

134463646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 134463646080 in words is "one hundred thirty-four billion, four hundred sixty-three million, six hundred forty-six thousand, eighty".