1138701312 has 264 divisors, whose sum is σ = 3959716800. Its totient is φ = 307888128.

The previous prime is 1138701281. The next prime is 1138701349. The reversal of 1138701312 is 2131078311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225264 + ... + 1226192.

Almost surely, 2^1138701312 is an apocalyptic number.

1138701312 is a gapful number since it is divisible by the number (12) 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 1138701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979858400).

1138701312 is an abundant number, since it is smaller than the sum of its proper divisors (2821015488).

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

1138701312 is a wasteful number, since it uses less digits than its factorization.

1138701312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1138701312 is about 33744.6486424144. The cubic root of 1138701312 is about 1044.2470899715.

Adding to 1138701312 its reverse (2131078311), we get a palindrome (3269779623).

The spelling of 1138701312 in words is "one billion, one hundred thirty-eight million, seven hundred one thousand, three hundred twelve".