137730 has 16 divisors (see below), whose sum is σ = 330624. Its totient is φ = 36720.

The previous prime is 137723. The next prime is 137737. The reversal of 137730 is 37731.

It is an interprime number because it is at equal distance from previous prime (137723) and next prime (137737).

It is a Curzon number.

It is a plaindrome in base 7.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 137697 and 137706.

It is not an unprimeable number, because it can be changed into a prime (137737) by changing a digit.

137730 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2266 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (20664).

2¹³⁷⁷³⁰ is an apocalyptic number.

137730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137730 is an abundant number, since it is smaller than the sum of its proper divisors (192894).

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

137730 is a wasteful number, since it uses less digits than its factorization.

137730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601.

The product of its (nonzero) digits is 441, while the sum is 21.

The square root of 137730 is about 371.1199267083. The cubic root of 137730 is about 51.6427684598.

Subtracting from 137730 its reverse (37731), we obtain a palindrome (99999).

The spelling of 137730 in words is "one hundred thirty-seven thousand, seven hundred thirty".