138372285757 has 16 divisors (see below), whose sum is σ = 147235802112. Its totient is φ = 129590208000.

The previous prime is 138372285721. The next prime is 138372285809. The reversal of 138372285757 is 757582273831.

It is a cyclic number.

It is not a de Polignac number, because 138372285757 - 2¹⁵ = 138372252989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138372285707) 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, 4623313 + ... + 4653145.

It is an arithmetic number, because the mean of its divisors is an integer number (9202237632).

Almost surely, 2^138372285757 is an apocalyptic number.

138372285757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

138372285757 is a deficient number, since it is larger than the sum of its proper divisors (8863516355).

138372285757 is a wasteful number, since it uses less digits than its factorization.

138372285757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31188.

The product of its digits is 19756800, while the sum is 58.

The spelling of 138372285757 in words is "one hundred thirty-eight billion, three hundred seventy-two million, two hundred eighty-five thousand, seven hundred fifty-seven".