137112 has 32 divisors (see below), whose sum is σ = 356400. Its totient is φ = 43904.

The previous prime is 137089. The next prime is 137117. The reversal of 137112 is 211731.

It is a junction number, because it is equal to n+sod(n) for n = 137091 and 137100.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137112.

It is not an unprimeable number, because it can be changed into a prime (137117) by changing a digit.

137112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598 + ... + 794.

2¹³⁷¹¹² is an apocalyptic number.

137112 is a gapful number since it is divisible by the number (12) 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 137112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178200).

137112 is an abundant number, since it is smaller than the sum of its proper divisors (219288).

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

137112 is a wasteful number, since it uses less digits than its factorization.

137112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its digits is 42, while the sum is 15.

The square root of 137112 is about 370.2863756608. The cubic root of 137112 is about 51.5654115895.

Adding to 137112 its reverse (211731), we get a palindrome (348843).

The spelling of 137112 in words is "one hundred thirty-seven thousand, one hundred twelve".