9135041152 has 64 divisors (see below), whose sum is σ = 18423923400. Its totient is φ = 4511232000.

The previous prime is 9135041143. The next prime is 9135041161. The reversal of 9135041152 is 2511405319.

It is an interprime number because it is at equal distance from previous prime (9135041143) and next prime (9135041161).

It can be written as a sum of positive squares in 4 ways, for example, as 9119486016 + 15555136 = 95496^2 + 3944^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8544874 + ... + 8545942.

Almost surely, 2^9135041152 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 9135041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9211961700).

9135041152 is an abundant number, since it is smaller than the sum of its proper divisors (9288882248).

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

9135041152 is a wasteful number, since it uses less digits than its factorization.

9135041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 9135041152 is about 95577.4092136840. The cubic root of 9135041152 is about 2090.4358081747.

The spelling of 9135041152 in words is "nine billion, one hundred thirty-five million, forty-one thousand, one hundred fifty-two".