137124 has 36 divisors (see below), whose sum is σ = 374556. Its totient is φ = 42048.

The previous prime is 137119. The next prime is 137131. The reversal of 137124 is 421731.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 57600 = 282^2 + 240^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 137097 and 137106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322 + ... + 614.

2¹³⁷¹²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187278).

137124 is an abundant number, since it is smaller than the sum of its proper divisors (237432).

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

137124 is a wasteful number, since it uses less digits than its factorization.

137124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 137124 is about 370.3025789810. The cubic root of 137124 is about 51.5669158753.

Adding to 137124 its reverse (421731), we get a palindrome (558855).

The spelling of 137124 in words is "one hundred thirty-seven thousand, one hundred twenty-four".