1138291200 has 360 divisors, whose sum is σ = 4190302116. Its totient is φ = 294912000.

The previous prime is 1138291163. The next prime is 1138291211. The reversal of 1138291200 is 21928311.

It can be written as a sum of positive squares in 6 ways, for example, as 255488256 + 882802944 = 15984^2 + 29712^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4723080 + ... + 4723320.

Almost surely, 2^1138291200 is an apocalyptic number.

1138291200 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 1138291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095151058).

1138291200 is an abundant number, since it is smaller than the sum of its proper divisors (3052010916).

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

1138291200 is a wasteful number, since it uses less digits than its factorization.

1138291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1138291200 is about 33738.5713983269. The cubic root of 1138291200 is about 1044.1217103887.

The spelling of 1138291200 in words is "one billion, one hundred thirty-eight million, two hundred ninety-one thousand, two hundred".