10133504000 has 136 divisors (see below), whose sum is σ = 25313480088. Its totient is φ = 4050124800.

The previous prime is 10133503993. The next prime is 10133504021. The reversal of 10133504000 is 40533101.

It can be written as a sum of positive squares in 4 ways, for example, as 62980096 + 10070523904 = 7936^2 + 100352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10133504000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8191382 + ... + 8192618.

Almost surely, 2^10133504000 is an apocalyptic number.

10133504000 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 10133504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12656740044).

10133504000 is an abundant number, since it is smaller than the sum of its proper divisors (15179976088).

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

10133504000 is an frugal number, since it uses more digits than its factorization.

10133504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The spelling of 10133504000 in words is "ten billion, one hundred thirty-three million, five hundred four thousand".