137826 has 48 divisors (see below), whose sum is σ = 349440. Its totient is φ = 38880.

The previous prime is 137803. The next prime is 137827. The reversal of 137826 is 628731.

It is a self number, because there is not a number n which added to its sum of digits gives 137826.

It is not an unprimeable number, because it can be changed into a prime (137827) by changing a digit.

137826 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 23 ways as a sum of consecutive naturals, for example, 4431 + ... + 4461.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

137826 is a Friedman number, since it can be written as ((7*6-1)^3-8)*2, using all its digits and the basic arithmetic operations.

2¹³⁷⁸²⁶ is an apocalyptic number.

137826 is the 186-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174720).

137826 is an abundant number, since it is smaller than the sum of its proper divisors (211614).

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

137826 is a wasteful number, since it uses less digits than its factorization.

137826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 68 counting only the distinct ones).

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

The square root of 137826 is about 371.2492424235. The cubic root of 137826 is about 51.6547642834.

The spelling of 137826 in words is "one hundred thirty-seven thousand, eight hundred twenty-six".