138131680 has 24 divisors (see below), whose sum is σ = 326336472. Its totient is φ = 55252608.

The previous prime is 138131659. The next prime is 138131687. The reversal of 138131680 is 86131831.

It is a super-2 number, since 2×138131680² = 38160722039244800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138131687) 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 3 ways as a sum of consecutive naturals, for example, 431502 + ... + 431821.

It is an arithmetic number, because the mean of its divisors is an integer number (13597353).

Almost surely, 2^138131680 is an apocalyptic number.

138131680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138131680 is an abundant number, since it is smaller than the sum of its proper divisors (188204792).

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

138131680 is an equidigital number, since it uses as much as digits as its factorization.

138131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863338 (or 863330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 138131680 is about 11752.9434611079. The cubic root of 138131680 is about 516.9292391810.

The spelling of 138131680 in words is "one hundred thirty-eight million, one hundred thirty-one thousand, six hundred eighty".