9131875200 has 720 divisors, whose sum is σ = 39254965200. Its totient is φ = 2084382720.

The previous prime is 9131875157. The next prime is 9131875211. The reversal of 9131875200 is 25781319.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×9131875200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12700441 + ... + 12701159.

It is an arithmetic number, because the mean of its divisors is an integer number (54520785).

Almost surely, 2^9131875200 is an apocalyptic number.

9131875200 is a gapful number since it is divisible by the number (90) 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 9131875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19627482600).

9131875200 is an abundant number, since it is smaller than the sum of its proper divisors (30123090000).

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

9131875200 is a wasteful number, since it uses less digits than its factorization.

9131875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 9131875200 is about 95560.8455383270. The cubic root of 9131875200 is about 2090.1942845724.

The spelling of 9131875200 in words is "nine billion, one hundred thirty-one million, eight hundred seventy-five thousand, two hundred".