138680829 has 72 divisors (see below), whose sum is σ = 254785440. Its totient is φ = 74952864.

The previous prime is 138680761. The next prime is 138680833. The reversal of 138680829 is 928086831.

It is not a de Polignac number, because 138680829 - 2¹¹ = 138678781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138680029) 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 71 ways as a sum of consecutive naturals, for example, 225927 + ... + 226539.

Almost surely, 2^138680829 is an apocalyptic number.

138680829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

138680829 is a deficient number, since it is larger than the sum of its proper divisors (116104611).

138680829 is an equidigital number, since it uses as much as digits as its factorization.

138680829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 138680829 is about 11776.2824779300. The cubic root of 138680829 is about 517.6133589097.

It can be divided in two parts, 1386 and 80829, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 138680829 in words is "one hundred thirty-eight million, six hundred eighty thousand, eight hundred twenty-nine".