137284 has 12 divisors (see below), whose sum is σ = 274624. Its totient is φ = 58824.

The previous prime is 137279. The next prime is 137303. The reversal of 137284 is 482731.

137284 is an admirable number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2424 + ... + 2479.

2¹³⁷²⁸⁴ is an apocalyptic number.

137284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137284 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

137284 is a wasteful number, since it uses less digits than its factorization.

137284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4912 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 137284 is about 370.5185555407. The cubic root of 137284 is about 51.5869646379.

The spelling of 137284 in words is "one hundred thirty-seven thousand, two hundred eighty-four".