1138764300 has 72 divisors (see below), whose sum is σ = 3304121856. Its totient is φ = 302813760.

The previous prime is 1138764271. The next prime is 1138764301. The reversal of 1138764300 is 34678311.

It is not an unprimeable number, because it can be changed into a prime (1138764301) 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 23 ways as a sum of consecutive naturals, for example, 104929 + ... + 115271.

Almost surely, 2^1138764300 is an apocalyptic number.

1138764300 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 1138764300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652060928).

1138764300 is an abundant number, since it is smaller than the sum of its proper divisors (2165357556).

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

1138764300 is a wasteful number, since it uses less digits than its factorization.

1138764300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10727 (or 10720 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1138764300 is about 33745.5819330472. The cubic root of 1138764300 is about 1044.2663440177.

The spelling of 1138764300 in words is "one billion, one hundred thirty-eight million, seven hundred sixty-four thousand, three hundred".