138376240 has 80 divisors (see below), whose sum is σ = 344620800. Its totient is φ = 51515136.

The previous prime is 138376229. The next prime is 138376241. The reversal of 138376240 is 42673831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 138376196 and 138376205.

It is not an unprimeable number, because it can be changed into a prime (138376241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88909 + ... + 90451.

It is an arithmetic number, because the mean of its divisors is an integer number (4307760).

Almost surely, 2^138376240 is an apocalyptic number.

138376240 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 138376240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172310400).

138376240 is an abundant number, since it is smaller than the sum of its proper divisors (206244560).

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

138376240 is a wasteful number, since it uses less digits than its factorization.

138376240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 138376240 is about 11763.3430622421. The cubic root of 138376240 is about 517.2341310535.

The spelling of 138376240 in words is "one hundred thirty-eight million, three hundred seventy-six thousand, two hundred forty".