138124008 has 128 divisors (see below), whose sum is σ = 425865600. Its totient is φ = 41126400.

The previous prime is 138124001. The next prime is 138124027. The reversal of 138124008 is 800421831.

138124008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (138124001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144460 + ... + 145412.

It is an arithmetic number, because the mean of its divisors is an integer number (3327075).

Almost surely, 2^138124008 is an apocalyptic number.

138124008 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 138124008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212932800).

138124008 is an abundant number, since it is smaller than the sum of its proper divisors (287741592).

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

138124008 is a wasteful number, since it uses less digits than its factorization.

138124008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138124008 is about 11752.6170702529. The cubic root of 138124008 is about 516.9196687128.

Adding to 138124008 its reverse (800421831), we get a palindrome (938545839).

The spelling of 138124008 in words is "one hundred thirty-eight million, one hundred twenty-four thousand, eight".