138306240 has 84 divisors (see below), whose sum is σ = 475725744. Its totient is φ = 36880896.

The previous prime is 138306209. The next prime is 138306241. The reversal of 138306240 is 42603831.

It is a happy number.

138306240 is a `hidden beast` number, since 1 + 3 + 8 + 30 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138306241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21132 + ... + 26891.

Almost surely, 2^138306240 is an apocalyptic number.

138306240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138306240 is an abundant number, since it is smaller than the sum of its proper divisors (337419504).

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

138306240 is a wasteful number, since it uses less digits than its factorization.

138306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48046 (or 48033 counting only the distinct ones).

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

The square root of 138306240 is about 11760.3673412015. The cubic root of 138306240 is about 517.1468990834.

The spelling of 138306240 in words is "one hundred thirty-eight million, three hundred six thousand, two hundred forty".