138294240 has 192 divisors, whose sum is σ = 505128960. Its totient is φ = 31150080.

The previous prime is 138294229. The next prime is 138294241. The reversal of 138294240 is 42492831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138294241) 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 31 ways as a sum of consecutive naturals, for example, 265180 + ... + 265700.

It is an arithmetic number, because the mean of its divisors is an integer number (2630880).

Almost surely, 2^138294240 is an apocalyptic number.

138294240 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 138294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252564480).

138294240 is an abundant number, since it is smaller than the sum of its proper divisors (366834720).

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

138294240 is a wasteful number, since it uses less digits than its factorization.

138294240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 138294240 is about 11759.8571419894. The cubic root of 138294240 is about 517.1319420762.

The spelling of 138294240 in words is "one hundred thirty-eight million, two hundred ninety-four thousand, two hundred forty".