267138 has 40 divisors (see below), whose sum is σ = 640332. Its totient is φ = 82944.

The previous prime is 267133. The next prime is 267139. The reversal of 267138 is 831762.

267138 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 263169 + 3969 = 513^2 + 63^2 .

It is a super-2 number, since 2×267138² = 142725422088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (267131) by changing a digit.

267138 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2706 + ... + 2802.

2²⁶⁷¹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 267138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320166).

267138 is an abundant number, since it is smaller than the sum of its proper divisors (373194).

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

267138 is a wasteful number, since it uses less digits than its factorization.

267138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

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

The square root of 267138 is about 516.8539445530. The cubic root of 267138 is about 64.4038589306.

The spelling of 267138 in words is "two hundred sixty-seven thousand, one hundred thirty-eight".