10134950672 has 120 divisors (see below), whose sum is σ = 24985097280. Its totient is φ = 3938215680.

The previous prime is 10134950663. The next prime is 10134950681. The reversal of 10134950672 is 27605943101.

It is an interprime number because it is at equal distance from previous prime (10134950663) and next prime (10134950681).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3784598 + ... + 3787274.

It is an arithmetic number, because the mean of its divisors is an integer number (208209144).

Almost surely, 2^10134950672 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 10134950672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12492548640).

10134950672 is an abundant number, since it is smaller than the sum of its proper divisors (14850146608).

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

10134950672 is a wasteful number, since it uses less digits than its factorization.

10134950672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 10134950672 in words is "ten billion, one hundred thirty-four million, nine hundred fifty thousand, six hundred seventy-two".