10134673920 has 720 divisors, whose sum is σ = 41916745728. Its totient is φ = 2255339520.

The previous prime is 10134673907. The next prime is 10134673921. The reversal of 10134673920 is 2937643101.

10134673920 is a `hidden beast` number, since 101 + 3 + 467 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10134673921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53061025 + ... + 53061215.

Almost surely, 2^10134673920 is an apocalyptic number.

10134673920 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 10134673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958372864).

10134673920 is an abundant number, since it is smaller than the sum of its proper divisors (31782071808).

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

10134673920 is a wasteful number, since it uses less digits than its factorization.

10134673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10134673920 in words is "ten billion, one hundred thirty-four million, six hundred seventy-three thousand, nine hundred twenty".