138177 has 12 divisors (see below), whose sum is σ = 215124. Its totient is φ = 84960.

The previous prime is 138163. The next prime is 138179. The reversal of 138177 is 771831.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 62001 = 276^2 + 249^2 .

It is not a de Polignac number, because 138177 - 2⁶ = 138113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138177.

It is not an unprimeable number, because it can be changed into a prime (138179) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (17927).

2¹³⁸¹⁷⁷ is an apocalyptic number.

It is an amenable number.

138177 is a deficient number, since it is larger than the sum of its proper divisors (76947).

138177 is a wasteful number, since it uses less digits than its factorization.

138177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1197 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 138177 is about 371.7216700705. The cubic root of 138177 is about 51.6985766574.

It can be divided in two parts, 13817 and 7, that added together give a cube (13824 = 24³).

The spelling of 138177 in words is "one hundred thirty-eight thousand, one hundred seventy-seven".