138756101 has 8 divisors (see below), whose sum is σ = 152388000. Its totient is φ = 125293840.

The previous prime is 138756083. The next prime is 138756119. The reversal of 138756101 is 101657831.

It is an interprime number because it is at equal distance from previous prime (138756083) and next prime (138756119).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138756101 - 2¹⁴ = 138739717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138756131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40691 + ... + 43968.

It is an arithmetic number, because the mean of its divisors is an integer number (19048500).

Almost surely, 2^138756101 is an apocalyptic number.

138756101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138756101 is a deficient number, since it is larger than the sum of its proper divisors (13631899).

138756101 is a wasteful number, since it uses less digits than its factorization.

138756101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84819.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 138756101 is about 11779.4779595702. The cubic root of 138756101 is about 517.7069905627.

The spelling of 138756101 in words is "one hundred thirty-eight million, seven hundred fifty-six thousand, one hundred one".