10134028800 has 960 divisors, whose sum is σ = 43840051200. Its totient is φ = 2245017600.

The previous prime is 10134028783. The next prime is 10134028811. The reversal of 10134028800 is 882043101.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142732765 + ... + 142732835.

It is an arithmetic number, because the mean of its divisors is an integer number (45666720).

Almost surely, 2^10134028800 is an apocalyptic number.

10134028800 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 10134028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920025600).

10134028800 is an abundant number, since it is smaller than the sum of its proper divisors (33706022400).

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

10134028800 is an equidigital number, since it uses as much as digits as its factorization.

10134028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10134028800 in words is "ten billion, one hundred thirty-four million, twenty-eight thousand, eight hundred".