10134431435064 has 128 divisors (see below), whose sum is σ = 27172240128000. Its totient is φ = 3138463770624.

The previous prime is 10134431435041. The next prime is 10134431435111. The reversal of 10134431435064 is 46053413443101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150264102 + ... + 150331530.

It is an arithmetic number, because the mean of its divisors is an integer number (212283126000).

Almost surely, 2^{10134431435064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134431435064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13586120064000).

10134431435064 is an abundant number, since it is smaller than the sum of its proper divisors (17037808692936).

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

10134431435064 is a wasteful number, since it uses less digits than its factorization.

10134431435064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72197 (or 72193 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 10134431435064 its reverse (46053413443101), we get a palindrome (56187844878165).

The spelling of 10134431435064 in words is "ten trillion, one hundred thirty-four billion, four hundred thirty-one million, four hundred thirty-five thousand, sixty-four".