7133088000 has 288 divisors, whose sum is σ = 24067854720. Its totient is φ = 1872076800.

The previous prime is 7133087993. The next prime is 7133088013. The reversal of 7133088000 is 8803317.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6431446 + ... + 6432554.

It is an arithmetic number, because the mean of its divisors is an integer number (83568940).

Almost surely, 2^7133088000 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 7133088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033927360).

7133088000 is an abundant number, since it is smaller than the sum of its proper divisors (16934766720).

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

7133088000 is a wasteful number, since it uses less digits than its factorization.

7133088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7133088000 is about 84457.6106694950. The cubic root of 7133088000 is about 1924.9783997126.

It can be divided in two parts, 71330 and 88000, that added together give a triangular number (159330 = T₅₆₄).

The spelling of 7133088000 in words is "seven billion, one hundred thirty-three million, eighty-eight thousand".