138273680 has 40 divisors (see below), whose sum is σ = 325903992. Its totient is φ = 54549504.

The previous prime is 138273679. The next prime is 138273703. The reversal of 138273680 is 86372831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12475024 + 125798656 = 3532^2 + 11216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×138273680² = 38239221161484800, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5999 + ... + 17678.

Almost surely, 2^138273680 is an apocalyptic number.

138273680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138273680 is an abundant number, since it is smaller than the sum of its proper divisors (187630312).

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

138273680 is a wasteful number, since it uses less digits than its factorization.

138273680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23763 (or 23757 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 138273680 is about 11758.9829492180. The cubic root of 138273680 is about 517.1063137259.

The spelling of 138273680 in words is "one hundred thirty-eight million, two hundred seventy-three thousand, six hundred eighty".