138375960 has 64 divisors (see below), whose sum is σ = 417070080. Its totient is φ = 36727680.

The previous prime is 138375949. The next prime is 138375961. The reversal of 138375960 is 69573831.

138375960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138375961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24175 + ... + 29345.

It is an arithmetic number, because the mean of its divisors is an integer number (6516720).

Almost surely, 2^138375960 is an apocalyptic number.

138375960 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 138375960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208535040).

138375960 is an abundant number, since it is smaller than the sum of its proper divisors (278694120).

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

138375960 is a wasteful number, since it uses less digits than its factorization.

138375960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 138375960 is about 11763.3311608575. The cubic root of 138375960 is about 517.2337821842.

The spelling of 138375960 in words is "one hundred thirty-eight million, three hundred seventy-five thousand, nine hundred sixty".