1138093920 has 144 divisors (see below), whose sum is σ = 4088251440. Its totient is φ = 287511552.

The previous prime is 1138093907. The next prime is 1138093921. The reversal of 1138093920 is 293908311.

It is a tau number, because it is divible by the number of its divisors (144).

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 (1138093921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6562 + ... + 48158.

It is an arithmetic number, because the mean of its divisors is an integer number (28390635).

Almost surely, 2^1138093920 is an apocalyptic number.

1138093920 is a gapful number since it is divisible by the number (10) 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 1138093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044125720).

1138093920 is an abundant number, since it is smaller than the sum of its proper divisors (2950157520).

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

1138093920 is a wasteful number, since it uses less digits than its factorization.

1138093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41637 (or 41626 counting only the distinct ones).

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

The square root of 1138093920 is about 33735.6476149488. The cubic root of 1138093920 is about 1044.0613871509.

The spelling of 1138093920 in words is "one billion, one hundred thirty-eight million, ninety-three thousand, nine hundred twenty".