10134223583000 has 256 divisors, whose sum is σ = 27404099573760. Its totient is φ = 3466823424000.

The previous prime is 10134223582957. The next prime is 10134223583047. The reversal of 10134223583000 is 38532243101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457577927 + ... + 457600073.

It is an arithmetic number, because the mean of its divisors is an integer number (107047263960).

Almost surely, 2^{10134223583000} is an apocalyptic number.

10134223583000 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 10134223583000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13702049786880).

10134223583000 is an abundant number, since it is smaller than the sum of its proper divisors (17269875990760).

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

10134223583000 is a wasteful number, since it uses less digits than its factorization.

10134223583000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24643 (or 24629 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 10134223583000 in words is "ten trillion, one hundred thirty-four billion, two hundred twenty-three million, five hundred eighty-three thousand".