137000 has 32 divisors (see below), whose sum is σ = 322920. Its totient is φ = 54400.

The previous prime is 136999. The next prime is 137029. The reversal of 137000 is 731.

It can be written as a sum of positive squares in 4 ways, for example, as 45796 + 91204 = 214^2 + 302^2 .

It is an unprimeable 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, 932 + ... + 1068.

2¹³⁷⁰⁰⁰ is an apocalyptic number.

137000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161460).

137000 is an abundant number, since it is smaller than the sum of its proper divisors (185920).

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

137000 is a wasteful number, since it uses less digits than its factorization.

137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 137000 is about 370.1351104664. The cubic root of 137000 is about 51.5513673548.

Adding to 137000 its reverse (731), we get a palindrome (137731).

The spelling of 137000 in words is "one hundred thirty-seven thousand".