138757 has 8 divisors (see below), whose sum is σ = 149600. Its totient is φ = 128304.

The previous prime is 138739. The next prime is 138763. The reversal of 138757 is 757831.

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 138757 - 2⁷ = 138629 is a prime.

It is the 373-rd Hogben number.

It is a Duffinian number.

138757 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138727) by changing a digit.

It is a nontrivial repunit in base 372.

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, 1219 + ... + 1327.

It is an arithmetic number, because the mean of its divisors is an integer number (18700).

2¹³⁸⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

138757 is a deficient number, since it is larger than the sum of its proper divisors (10843).

138757 is a wasteful number, since it uses less digits than its factorization.

138757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195.

The product of its digits is 5880, while the sum is 31.

The square root of 138757 is about 372.5010067100. The cubic root of 138757 is about 51.7708108634.

It can be divided in two parts, 1387 and 57, that added together give a square (1444 = 38²).

The spelling of 138757 in words is "one hundred thirty-eight thousand, seven hundred fifty-seven".