138858026628753 has 32 divisors (see below), whose sum is σ = 216543644611200. Its totient is φ = 87699436516800.

The previous prime is 138858026628733. The next prime is 138858026628809. The reversal of 138858026628753 is 357826620858831.

138858026628753 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 5 + 80 + 266 + 287 + 5 + 3 = 666.

It is not a de Polignac number, because 138858026628753 - 2¹⁴ = 138858026612369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138858026628733) 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, 172078843 + ... + 172883903.

It is an arithmetic number, because the mean of its divisors is an integer number (6766988894100).

Almost surely, 2^{138858026628753} is an apocalyptic number.

It is an amenable number.

138858026628753 is a deficient number, since it is larger than the sum of its proper divisors (77685617982447).

138858026628753 is a wasteful number, since it uses less digits than its factorization.

138858026628753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141310 (or 1141304 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 138858026628753 in words is "one hundred thirty-eight trillion, eight hundred fifty-eight billion, twenty-six million, six hundred twenty-eight thousand, seven hundred fifty-three".