138916129 has 16 divisors (see below), whose sum is σ = 161308800. Its totient is φ = 118229760.

The previous prime is 138916123. The next prime is 138916133. The reversal of 138916129 is 921619831.

It is not a de Polignac number, because 138916129 - 2⁹ = 138915617 is a prime.

It is a super-3 number, since 3×138916129³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138916091 and 138916100.

It is not an unprimeable number, because it can be changed into a prime (138916123) 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 15 ways as a sum of consecutive naturals, for example, 35347 + ... + 39079.

It is an arithmetic number, because the mean of its divisors is an integer number (10081800).

Almost surely, 2^138916129 is an apocalyptic number.

It is an amenable number.

138916129 is a deficient number, since it is larger than the sum of its proper divisors (22392671).

138916129 is a wasteful number, since it uses less digits than its factorization.

138916129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960.

The product of its digits is 23328, while the sum is 40.

The square root of 138916129 is about 11786.2686631520. The cubic root of 138916129 is about 517.9059386560.

The spelling of 138916129 in words is "one hundred thirty-eight million, nine hundred sixteen thousand, one hundred twenty-nine".