138416101509 has 32 divisors (see below), whose sum is σ = 211423530240. Its totient is φ = 78906240000.

The previous prime is 138416101469. The next prime is 138416101513. The reversal of 138416101509 is 905101614831.

It is not a de Polignac number, because 138416101509 - 2¹⁹ = 138415577221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138416101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17676007 + ... + 17683835.

It is an arithmetic number, because the mean of its divisors is an integer number (6606985320).

Almost surely, 2^138416101509 is an apocalyptic number.

It is an amenable number.

138416101509 is a deficient number, since it is larger than the sum of its proper divisors (73007428731).

138416101509 is a wasteful number, since it uses less digits than its factorization.

138416101509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9741.

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 138416101509 in words is "one hundred thirty-eight billion, four hundred sixteen million, one hundred one thousand, five hundred nine".