138124040 has 16 divisors (see below), whose sum is σ = 310779180. Its totient is φ = 55249600.

The previous prime is 138124033. The next prime is 138124067. The reversal of 138124040 is 40421831.

138124040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 137780644 + 343396 = 11738^2 + 586^2 .

It is a junction number, because it is equal to n+sod(n) for n = 138123997 and 138124015.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1726511 + ... + 1726590.

Almost surely, 2^138124040 is an apocalyptic number.

138124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138124040 is an abundant number, since it is smaller than the sum of its proper divisors (172655140).

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

138124040 is a wasteful number, since it uses less digits than its factorization.

138124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453112 (or 3453108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 138124040 is about 11752.6184316517. The cubic root of 138124040 is about 516.9197086321.

Adding to 138124040 its reverse (40421831), we get a palindrome (178545871).

The spelling of 138124040 in words is "one hundred thirty-eight million, one hundred twenty-four thousand, forty".