9139132800 has 1152 divisors, whose sum is σ = 40882383360. Its totient is φ = 1970749440.

The previous prime is 9139132787. The next prime is 9139132801. The reversal of 9139132800 is 82319319.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9139132801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 125193564 + ... + 125193636.

It is an arithmetic number, because the mean of its divisors is an integer number (35488180).

Almost surely, 2^9139132800 is an apocalyptic number.

9139132800 is a gapful number since it is divisible by the number (90) 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 9139132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20441191680).

9139132800 is an abundant number, since it is smaller than the sum of its proper divisors (31743250560).

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

9139132800 is a wasteful number, since it uses less digits than its factorization.

9139132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9139132800 is about 95598.8117080960. The cubic root of 9139132800 is about 2090.7478684650.

The spelling of 9139132800 in words is "nine billion, one hundred thirty-nine million, one hundred thirty-two thousand, eight hundred".