9139813200 has 1080 divisors, whose sum is σ = 40675209120. Its totient is φ = 1959552000.

The previous prime is 9139813171. The next prime is 9139813201. The reversal of 9139813200 is 23189319.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (9139813201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 90493150 + ... + 90493250.

Almost surely, 2^9139813200 is an apocalyptic number.

9139813200 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 9139813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20337604560).

9139813200 is an abundant number, since it is smaller than the sum of its proper divisors (31535395920).

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

9139813200 is a wasteful number, since it uses less digits than its factorization.

9139813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

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

The square root of 9139813200 is about 95602.3702635034. The cubic root of 9139813200 is about 2090.7997519270.

The spelling of 9139813200 in words is "nine billion, one hundred thirty-nine million, eight hundred thirteen thousand, two hundred".