138677 has 8 divisors (see below), whose sum is σ = 172992. Its totient is φ = 108000.

The previous prime is 138661. The next prime is 138679. The reversal of 138677 is 776831.

138677 = 214² + 215² + 216².

It is a happy number.

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 138677 - 2⁴ = 138661 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138679) 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, 824 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (21624).

2¹³⁸⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

138677 is a deficient number, since it is larger than the sum of its proper divisors (34315).

138677 is a wasteful number, since it uses less digits than its factorization.

138677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819.

The product of its digits is 7056, while the sum is 32.

The square root of 138677 is about 372.3936089677. The cubic root of 138677 is about 51.7608595070.

The spelling of 138677 in words is "one hundred thirty-eight thousand, six hundred seventy-seven".