138630240 has 288 divisors, whose sum is σ = 573168960. Its totient is φ = 29786112.

The previous prime is 138630221. The next prime is 138630281. The reversal of 138630240 is 42036831.

It is a happy number.

138630240 is a `hidden beast` number, since 1 + 3 + 8 + 630 + 24 + 0 = 666.

138630240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170956 + ... + 171764.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2^138630240 is an apocalyptic number.

138630240 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 138630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286584480).

138630240 is an abundant number, since it is smaller than the sum of its proper divisors (434538720).

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

138630240 is a wasteful number, since it uses less digits than its factorization.

138630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 138630240 is about 11774.1343630859. The cubic root of 138630240 is about 517.5504116682.

It can be divided in two parts, 1386 and 30240, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 138630240 in words is "one hundred thirty-eight million, six hundred thirty thousand, two hundred forty".