8301138300 has 432 divisors, whose sum is σ = 32454589440. Its totient is φ = 1727930880.

The previous prime is 8301138289. The next prime is 8301138317. The reversal of 8301138300 is 38311038.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6469459 + ... + 6470741.

Almost surely, 2^8301138300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8301138300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16227294720).

8301138300 is an abundant number, since it is smaller than the sum of its proper divisors (24153451140).

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

8301138300 is a wasteful number, since it uses less digits than its factorization.

8301138300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8301138300 is about 91110.5828101215. The cubic root of 8301138300 is about 2024.7864063693.

Adding to 8301138300 its reverse (38311038), we get a palindrome (8339449338).

The spelling of 8301138300 in words is "eight billion, three hundred one million, one hundred thirty-eight thousand, three hundred".