276138 has 36 divisors (see below), whose sum is σ = 647010. Its totient is φ = 85008.

The previous prime is 276137. The next prime is 276151. The reversal of 276138 is 831672.

It can be written as a sum of positive squares in only one way, i.e., 233289 + 42849 = 483^2 + 207^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 276138.

It is not an unprimeable number, because it can be changed into a prime (276137) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9508 + ... + 9536.

2²⁷⁶¹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323505).

276138 is an abundant number, since it is smaller than the sum of its proper divisors (370872).

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

276138 is a wasteful number, since it uses less digits than its factorization.

276138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 276138 is about 525.4883443046. The cubic root of 276138 is about 65.1191502907.

It can be divided in two parts, 276 and 138, that added together give a palindrome (414).

The spelling of 276138 in words is "two hundred seventy-six thousand, one hundred thirty-eight".