10134344000 has 112 divisors (see below), whose sum is σ = 27379550016. Its totient is φ = 3685184000.

The previous prime is 10134343987. The next prime is 10134344009. The reversal of 10134344000 is 44343101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134344009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30419 + ... + 145581.

It is an arithmetic number, because the mean of its divisors is an integer number (244460268).

Almost surely, 2^10134344000 is an apocalyptic number.

10134344000 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 10134344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13689775008).

10134344000 is an abundant number, since it is smaller than the sum of its proper divisors (17245206016).

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

10134344000 is a wasteful number, since it uses less digits than its factorization.

10134344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115201 (or 115181 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10134344000 its reverse (44343101), we get a palindrome (10178687101).

The spelling of 10134344000 in words is "ten billion, one hundred thirty-four million, three hundred forty-four thousand".