10134499200 has 768 divisors, whose sum is σ = 40797388800. Its totient is φ = 2161336320.

The previous prime is 10134499189. The next prime is 10134499201. The reversal of 10134499200 is 299443101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134499201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122102359 + ... + 122102441.

It is an arithmetic number, because the mean of its divisors is an integer number (53121600).

Almost surely, 2^10134499200 is an apocalyptic number.

10134499200 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 10134499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20398694400).

10134499200 is an abundant number, since it is smaller than the sum of its proper divisors (30662889600).

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

10134499200 is a wasteful number, since it uses less digits than its factorization.

10134499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 10134499200 in words is "ten billion, one hundred thirty-four million, four hundred ninety-nine thousand, two hundred".