1138340160 has 336 divisors, whose sum is σ = 4193804160. Its totient is φ = 282562560.

The previous prime is 1138340153. The next prime is 1138340197. The reversal of 1138340160 is 610438311.

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 47 ways as a sum of consecutive naturals, for example, 3884974 + ... + 3885266.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 2^1138340160 is an apocalyptic number.

1138340160 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 1138340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096902080).

1138340160 is an abundant number, since it is smaller than the sum of its proper divisors (3055464000).

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

1138340160 is a wasteful number, since it uses less digits than its factorization.

1138340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1138340160 is about 33739.2969695576. The cubic root of 1138340160 is about 1044.1366800397.

Adding to 1138340160 its reverse (610438311), we get a palindrome (1748778471).

The spelling of 1138340160 in words is "one billion, one hundred thirty-eight million, three hundred forty thousand, one hundred sixty".