138713140 has 24 divisors (see below), whose sum is σ = 295291080. Its totient is φ = 54724608.

The previous prime is 138713123. The next prime is 138713143. The reversal of 138713140 is 41317831.

It can be written as a sum of positive squares in 4 ways, for example, as 9072144 + 129640996 = 3012^2 + 11386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 138713099 and 138713108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138713143) 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, 46045 + ... + 48964.

It is an arithmetic number, because the mean of its divisors is an integer number (12303795).

Almost surely, 2^138713140 is an apocalyptic number.

138713140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138713140 is an abundant number, since it is smaller than the sum of its proper divisors (156577940).

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

138713140 is a wasteful number, since it uses less digits than its factorization.

138713140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95091 (or 95089 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 138713140 is about 11777.6542655998. The cubic root of 138713140 is about 517.6535550605.

The spelling of 138713140 in words is "one hundred thirty-eight million, seven hundred thirteen thousand, one hundred forty".