137530 has 16 divisors (see below), whose sum is σ = 262440. Its totient is φ = 51712.

The previous prime is 137519. The next prime is 137537. The reversal of 137530 is 35731.

It can be written as a sum of positive squares in 4 ways, for example, as 136161 + 1369 = 369^2 + 37^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137498 and 137507.

It is not an unprimeable number, because it can be changed into a prime (137537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235 + ... + 574.

2¹³⁷⁵³⁰ is an apocalyptic number.

137530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137530 is a deficient number, since it is larger than the sum of its proper divisors (124910).

137530 is a wasteful number, since it uses less digits than its factorization.

137530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 137530 is about 370.8503741403. The cubic root of 137530 is about 51.6177592457.

The spelling of 137530 in words is "one hundred thirty-seven thousand, five hundred thirty".