9001138176 has 384 divisors, whose sum is σ = 28304640000. Its totient is φ = 2822307840.

The previous prime is 9001138169. The next prime is 9001138217. The reversal of 9001138176 is 6718311009.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9001138176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101136340 + ... + 101136428.

It is an arithmetic number, because the mean of its divisors is an integer number (73710000).

Almost surely, 2^9001138176 is an apocalyptic number.

9001138176 is a gapful number since it is divisible by the number (96) 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 9001138176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320000).

9001138176 is an abundant number, since it is smaller than the sum of its proper divisors (19303501824).

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

9001138176 is a wasteful number, since it uses less digits than its factorization.

9001138176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 9001138176 is about 94874.3283296383. The cubic root of 9001138176 is about 2080.1715045960.

The spelling of 9001138176 in words is "nine billion, one million, one hundred thirty-eight thousand, one hundred seventy-six".