137382 has 16 divisors (see below), whose sum is σ = 314112. Its totient is φ = 39240.

The previous prime is 137369. The next prime is 137383. The reversal of 137382 is 283731.

It is a d-powerful number, because it can be written as 1 + 3² + 3⁹ + 7⁶ + 8 + 2⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137383) by changing a digit.

137382 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, 1594 + ... + 1677.

It is an arithmetic number, because the mean of its divisors is an integer number (19632).

2¹³⁷³⁸² is an apocalyptic number.

137382 is an abundant number, since it is smaller than the sum of its proper divisors (176730).

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

137382 is a wasteful number, since it uses less digits than its factorization.

137382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283.

The product of its digits is 1008, while the sum is 24.

The square root of 137382 is about 370.6507790360. The cubic root of 137382 is about 51.5992368134.

The spelling of 137382 in words is "one hundred thirty-seven thousand, three hundred eighty-two".