138124064 has 48 divisors (see below), whose sum is σ = 293868288. Its totient is φ = 63528192.

The previous prime is 138124033. The next prime is 138124067. The reversal of 138124064 is 460421831.

138124064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138124067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227249 + ... + 227855.

It is an arithmetic number, because the mean of its divisors is an integer number (6122256).

Almost surely, 2^138124064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138124064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146934144).

138124064 is an abundant number, since it is smaller than the sum of its proper divisors (155744224).

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

138124064 is a wasteful number, since it uses less digits than its factorization.

138124064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 138124064 is about 11752.6194527007. The cubic root of 138124064 is about 516.9197385715.

Adding to 138124064 its reverse (460421831), we get a palindrome (598545895).

The spelling of 138124064 in words is "one hundred thirty-eight million, one hundred twenty-four thousand, sixty-four".