137040 has 40 divisors (see below), whose sum is σ = 425568. Its totient is φ = 36480.

The previous prime is 137029. The next prime is 137077. The reversal of 137040 is 40731.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 137040.

It is an unprimeable number.

137040 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 46 + ... + 525.

2¹³⁷⁰⁴⁰ is an apocalyptic number.

137040 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 137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212784).

137040 is an abundant number, since it is smaller than the sum of its proper divisors (288528).

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

137040 is a wasteful number, since it uses less digits than its factorization.

137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

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

The square root of 137040 is about 370.1891408456. The cubic root of 137040 is about 51.5563840313.

Adding to 137040 its reverse (40731), we get a palindrome (177771).

The spelling of 137040 in words is "one hundred thirty-seven thousand, forty".