138515140 has 24 divisors (see below), whose sum is σ = 295652952. Its totient is φ = 54497280.

The previous prime is 138515101. The next prime is 138515141. The reversal of 138515140 is 41515831.

138515140 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 4 ways, for example, as 1016064 + 137499076 = 1008^2 + 11726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 138515099 and 138515108.

It is not an unprimeable number, because it can be changed into a prime (138515141) 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, 55549 + ... + 57988.

It is an arithmetic number, because the mean of its divisors is an integer number (12318873).

Almost surely, 2^138515140 is an apocalyptic number.

138515140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138515140 is an abundant number, since it is smaller than the sum of its proper divisors (157137812).

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

138515140 is a wasteful number, since it uses less digits than its factorization.

138515140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113607 (or 113605 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 138515140 is about 11769.2455153251. The cubic root of 138515140 is about 517.4071371409.

The spelling of 138515140 in words is "one hundred thirty-eight million, five hundred fifteen thousand, one hundred forty".