9134785800 has 1152 divisors, whose sum is σ = 40711680000. Its totient is φ = 1868106240.

The previous prime is 9134785789. The next prime is 9134785873. The reversal of 9134785800 is 85874319.

It is a super-2 number, since 2×9134785800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 115630161 + ... + 115630239.

It is an arithmetic number, because the mean of its divisors is an integer number (35340000).

Almost surely, 2^9134785800 is an apocalyptic number.

9134785800 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 9134785800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840000).

9134785800 is an abundant number, since it is smaller than the sum of its proper divisors (31576894200).

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

9134785800 is a wasteful number, since it uses less digits than its factorization.

9134785800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9134785800 is about 95576.0733656703. The cubic root of 9134785800 is about 2090.4163299943.

It can be divided in two parts, 91347 and 85800, that added together give a 11-th power (177147 = 3¹¹).

The spelling of 9134785800 in words is "nine billion, one hundred thirty-four million, seven hundred eighty-five thousand, eight hundred".