138057 has 8 divisors (see below), whose sum is σ = 194976. Its totient is φ = 86592.

The previous prime is 138053. The next prime is 138059. The reversal of 138057 is 750831.

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

It is not a de Polignac number, because 138057 - 2² = 138053 is a prime.

138057 is a lucky number.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138057.

It is not an unprimeable number, because it can be changed into a prime (138053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1303 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (24372).

2¹³⁸⁰⁵⁷ is an apocalyptic number.

138057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

138057 is a deficient number, since it is larger than the sum of its proper divisors (56919).

138057 is a wasteful number, since it uses less digits than its factorization.

138057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 138057 is about 371.5602239207. The cubic root of 138057 is about 51.6836064237.

Adding to 138057 its reverse (750831), we get a palindrome (888888).

The spelling of 138057 in words is "one hundred thirty-eight thousand, fifty-seven".