9128340144 has 480 divisors, whose sum is σ = 33587136000. Its totient is φ = 2347107840.

The previous prime is 9128340131. The next prime is 9128340157. The reversal of 9128340144 is 4410438219.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9128340131) and next prime (9128340157).

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 = 9128340099 and 9128340108.

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 95 ways as a sum of consecutive naturals, for example, 45870957 + ... + 45871155.

It is an arithmetic number, because the mean of its divisors is an integer number (69973200).

Almost surely, 2^9128340144 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 9128340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793568000).

9128340144 is an abundant number, since it is smaller than the sum of its proper divisors (24458795856).

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

9128340144 is a wasteful number, since it uses less digits than its factorization.

9128340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9128340144 is about 95542.3473858582. The cubic root of 9128340144 is about 2089.9245368539.

The spelling of 9128340144 in words is "nine billion, one hundred twenty-eight million, three hundred forty thousand, one hundred forty-four".