137004 has 36 divisors (see below), whose sum is σ = 373464. Its totient is φ = 38976.

The previous prime is 136999. The next prime is 137029. The reversal of 137004 is 400731.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137004.

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, 472 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2¹³⁷⁰⁰⁴ is an apocalyptic number.

137004 is a gapful number since it is divisible by the number (14) 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 137004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732).

137004 is an abundant number, since it is smaller than the sum of its proper divisors (236460).

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

137004 is a wasteful number, since it uses less digits than its factorization.

137004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 137004 is about 370.1405138593. The cubic root of 137004 is about 51.5518690663.

Adding to 137004 its reverse (400731), we get a palindrome (537735).

The spelling of 137004 in words is "one hundred thirty-seven thousand, four".