138053185727 has 16 divisors (see below), whose sum is σ = 146501332992. Its totient is φ = 129641765760.

The previous prime is 138053185709. The next prime is 138053185769. The reversal of 138053185727 is 727581350831.

It is a cyclic number.

It is not a de Polignac number, because 138053185727 - 2⁶ = 138053185663 is a prime.

It is a super-3 number, since 3×138053185727³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138053115727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15121238 + ... + 15130364.

It is an arithmetic number, because the mean of its divisors is an integer number (9156333312).

Almost surely, 2^138053185727 is an apocalyptic number.

138053185727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

138053185727 is a deficient number, since it is larger than the sum of its proper divisors (8448147265).

138053185727 is a wasteful number, since it uses less digits than its factorization.

138053185727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11038.

The product of its (nonzero) digits is 1411200, while the sum is 50.

The spelling of 138053185727 in words is "one hundred thirty-eight billion, fifty-three million, one hundred eighty-five thousand, seven hundred twenty-seven".