138147768 has 80 divisors (see below), whose sum is σ = 422139960. Its totient is φ = 41860800.

The previous prime is 138147767. The next prime is 138147809. The reversal of 138147768 is 867741831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138147761) 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 19 ways as a sum of consecutive naturals, for example, 2563 + ... + 16818.

Almost surely, 2^138147768 is an apocalyptic number.

138147768 is a gapful number since it is divisible by the number (18) 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 138147768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211069980).

138147768 is an abundant number, since it is smaller than the sum of its proper divisors (283992192).

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

138147768 is a wasteful number, since it uses less digits than its factorization.

138147768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19410 (or 19397 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 138147768 is about 11753.6278654720. The cubic root of 138147768 is about 516.9493070726.

The spelling of 138147768 in words is "one hundred thirty-eight million, one hundred forty-seven thousand, seven hundred sixty-eight".