137330 has 16 divisors (see below), whose sum is σ = 255744. Its totient is φ = 53040.

The previous prime is 137321. The next prime is 137339. The reversal of 137330 is 33731.

It is an interprime number because it is at equal distance from previous prime (137321) and next prime (137339).

It is a Curzon number.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 137299 and 137308.

It is not an unprimeable number, because it can be changed into a prime (137339) by changing a digit.

137330 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, 89 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (15984).

2¹³⁷³³⁰ is an apocalyptic number.

137330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137330 is a deficient number, since it is larger than the sum of its proper divisors (118414).

137330 is a wasteful number, since it uses less digits than its factorization.

137330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 189, while the sum is 17.

The square root of 137330 is about 370.5806255054. The cubic root of 137330 is about 51.5927257738.

The spelling of 137330 in words is "one hundred thirty-seven thousand, three hundred thirty".