108133344000 has 1296 divisors, whose sum is σ = 446565843360. Its totient is φ = 25073664000.

The previous prime is 108133343999. The next prime is 108133344001. The reversal of 108133344000 is 443331801.

It is an interprime number because it is at equal distance from previous prime (108133343999) and next prime (108133344001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108133344001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1010591947 + ... + 1010592053.

It is an arithmetic number, because the mean of its divisors is an integer number (344572410).

Almost surely, 2^108133344000 is an apocalyptic number.

108133344000 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 108133344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223282921680).

108133344000 is an abundant number, since it is smaller than the sum of its proper divisors (338432499360).

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

108133344000 is a wasteful number, since it uses less digits than its factorization.

108133344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 108133344000 its reverse (443331801), we get a palindrome (108576675801).

The spelling of 108133344000 in words is "one hundred eight billion, one hundred thirty-three million, three hundred forty-four thousand".