134312002560 has 264 divisors, whose sum is σ = 466199173440. Its totient is φ = 35754098688.

The previous prime is 134312002543. The next prime is 134312002567. The reversal of 134312002560 is 65200213431.

134312002560 is a `hidden beast` number, since 1 + 3 + 431 + 200 + 25 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (134312002567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30364509 + ... + 30368931.

It is an arithmetic number, because the mean of its divisors is an integer number (1765905960).

Almost surely, 2^134312002560 is an apocalyptic number.

134312002560 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 134312002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233099586720).

134312002560 is an abundant number, since it is smaller than the sum of its proper divisors (331887170880).

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

134312002560 is a wasteful number, since it uses less digits than its factorization.

134312002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 134312002560 its reverse (65200213431), we get a palindrome (199512215991).

The spelling of 134312002560 in words is "one hundred thirty-four billion, three hundred twelve million, two thousand, five hundred sixty".