137034 has 24 divisors (see below), whose sum is σ = 310752. Its totient is φ = 43560.

The previous prime is 137029. The next prime is 137077. The reversal of 137034 is 430731.

137034 is nontrivially palindromic in base 12.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 136998 and 137016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137034.

It is an unprimeable number.

137034 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 11 ways as a sum of consecutive naturals, for example, 249 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (12948).

2¹³⁷⁰³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155376).

137034 is an abundant number, since it is smaller than the sum of its proper divisors (173718).

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

137034 is a wasteful number, since it uses less digits than its factorization.

137034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 137034 is about 370.1810367915. The cubic root of 137034 is about 51.5556315920. Note that the first 3 decimals are identical.

Adding to 137034 its reverse (430731), we get a palindrome (567765).

The spelling of 137034 in words is "one hundred thirty-seven thousand, thirty-four".