10134645062130 has 384 divisors, whose sum is σ = 29100424953600. Its totient is φ = 2436566630400.

The previous prime is 10134645062123. The next prime is 10134645062183. The reversal of 10134645062130 is 3126054643101.

10134645062130 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 645 + 0 + 6 + 2 + 1 + 3 + 0 = 666.

It is a super-2 number, since 2×10134645062130² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2521681261 + ... + 2521685279.

It is an arithmetic number, because the mean of its divisors is an integer number (75782356650).

Almost surely, 2^{10134645062130} is an apocalyptic number.

10134645062130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134645062130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14550212476800).

10134645062130 is an abundant number, since it is smaller than the sum of its proper divisors (18965779891470).

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

10134645062130 is a wasteful number, since it uses less digits than its factorization.

10134645062130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10134645062130 in words is "ten trillion, one hundred thirty-four billion, six hundred forty-five million, sixty-two thousand, one hundred thirty".