137340 has 72 divisors (see below), whose sum is σ = 480480. Its totient is φ = 31104.

The previous prime is 137339. The next prime is 137341. The reversal of 137340 is 43731.

It is an interprime number because it is at equal distance from previous prime (137339) and next prime (137341).

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

It is a d-powerful number, because it can be written as 1 + 3 + 3⁹ + 7⁶ + 4 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206 + ... + 1314.

2¹³⁷³⁴⁰ is an apocalyptic number.

137340 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 137340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240240).

137340 is an abundant number, since it is smaller than the sum of its proper divisors (343140).

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

137340 is a wasteful number, since it uses less digits than its factorization.

137340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 126 counting only the distinct ones).

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

The square root of 137340 is about 370.5941176004. The cubic root of 137340 is about 51.5939780245.

137340 divided by its product of nonzero digits (252) gives a palindrome (545).

The spelling of 137340 in words is "one hundred thirty-seven thousand, three hundred forty".