10134334160 has 40 divisors (see below), whose sum is σ = 23573349096. Its totient is φ = 4051837440.

The previous prime is 10134334159. The next prime is 10134334163. The reversal of 10134334160 is 6143343101.

It can be written as a sum of positive squares in 4 ways, for example, as 219750976 + 9914583184 = 14824^2 + 99572^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134334163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149162 + ... + 206198.

Almost surely, 2^10134334160 is an apocalyptic number.

10134334160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134334160 is an abundant number, since it is smaller than the sum of its proper divisors (13439014936).

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

10134334160 is a wasteful number, since it uses less digits than its factorization.

10134334160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59271 (or 59265 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 10134334160 its reverse (6143343101), we get a palindrome (16277677261).

The spelling of 10134334160 in words is "ten billion, one hundred thirty-four million, three hundred thirty-four thousand, one hundred sixty".