9002736144 has 40 divisors (see below), whose sum is σ = 25841188320. Its totient is φ = 3000911904.

The previous prime is 9002736139. The next prime is 9002736157. The reversal of 9002736144 is 4416372009.

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

It is a junction number, because it is equal to n+sod(n) for n = 9002736099 and 9002736108.

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, 10419402 + ... + 10420265.

It is an arithmetic number, because the mean of its divisors is an integer number (646029708).

Almost surely, 2^9002736144 is an apocalyptic number.

It is an amenable number.

9002736144 is an abundant number, since it is smaller than the sum of its proper divisors (16838452176).

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

9002736144 is a wasteful number, since it uses less digits than its factorization.

9002736144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20839684 (or 20839672 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9002736144 is about 94882.7494542607. The cubic root of 9002736144 is about 2080.2945946152.

The spelling of 9002736144 in words is "nine billion, two million, seven hundred thirty-six thousand, one hundred forty-four".