137082 has 32 divisors (see below), whose sum is σ = 313344. Its totient is φ = 39600.

The previous prime is 137077. The next prime is 137087. The reversal of 137082 is 280731.

It is an interprime number because it is at equal distance from previous prime (137077) and next prime (137087).

It is not an unprimeable number, because it can be changed into a prime (137087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2013 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (9792).

2¹³⁷⁰⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156672).

137082 is an abundant number, since it is smaller than the sum of its proper divisors (176262).

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

137082 is a wasteful number, since it uses less digits than its factorization.

137082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 137082 is about 370.2458642578. The cubic root of 137082 is about 51.5616504911.

The spelling of 137082 in words is "one hundred thirty-seven thousand, eighty-two".