9138072900 has 144 divisors (see below), whose sum is σ = 30539920320. Its totient is φ = 2084966400.

The previous prime is 9138072899. The next prime is 9138072919. The reversal of 9138072900 is 92708319.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25345 + ... + 137544.

It is an arithmetic number, because the mean of its divisors is an integer number (212082780).

Almost surely, 2^9138072900 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 9138072900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269960160).

9138072900 is an abundant number, since it is smaller than the sum of its proper divisors (21401847420).

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

9138072900 is a wasteful number, since it uses less digits than its factorization.

9138072900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162934 (or 162927 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 9138072900 is about 95593.2680684158. The cubic root of 9138072900 is about 2090.6670413455.

The spelling of 9138072900 in words is "nine billion, one hundred thirty-eight million, seventy-two thousand, nine hundred".