9135018000 has 800 divisors, whose sum is σ = 36401384448. Its totient is φ = 2198016000.

The previous prime is 9135017989. The next prime is 9135018001. The reversal of 9135018000 is 8105319.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9135018001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85373947 + ... + 85374053.

Almost surely, 2^9135018000 is an apocalyptic number.

9135018000 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 9135018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200692224).

9135018000 is an abundant number, since it is smaller than the sum of its proper divisors (27266366448).

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

9135018000 is a wasteful number, since it uses less digits than its factorization.

9135018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 9135018000 is about 95577.2880971206. The cubic root of 9135018000 is about 2090.4340421615.

The spelling of 9135018000 in words is "nine billion, one hundred thirty-five million, eighteen thousand".