138777 has 8 divisors (see below), whose sum is σ = 186816. Its totient is φ = 91632.

The previous prime is 138763. The next prime is 138793. The reversal of 138777 is 777831.

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

It is not a de Polignac number, because 138777 - 2¹² = 134681 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

138777 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138777.

It is not an unprimeable number, because it can be changed into a prime (138727) 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, 363 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (23352).

2¹³⁸⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

138777 is a deficient number, since it is larger than the sum of its proper divisors (48039).

138777 is a wasteful number, since it uses less digits than its factorization.

138777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447.

The product of its digits is 8232, while the sum is 33.

The square root of 138777 is about 372.5278513078. The cubic root of 138777 is about 51.7732981048.

The spelling of 138777 in words is "one hundred thirty-eight thousand, seven hundred seventy-seven".