138776 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 59040.

The previous prime is 138763. The next prime is 138793. The reversal of 138776 is 677831.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138776.

It is an unprimeable number.

138776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1631 + ... + 1713.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹³⁸⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

138776 is an abundant number, since it is smaller than the sum of its proper divisors (163624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138776 is a wasteful number, since it uses less digits than its factorization.

138776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

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

The square root of 138776 is about 372.5265091238. The cubic root of 138776 is about 51.7731737484.

The spelling of 138776 in words is "one hundred thirty-eight thousand, seven hundred seventy-six".