137130 has 32 divisors (see below), whose sum is σ = 376704. Its totient is φ = 31296.

The previous prime is 137119. The next prime is 137131. The reversal of 137130 is 31731.

137130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (137131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (11772).

2¹³⁷¹³⁰ is an apocalyptic number.

137130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137130 is an abundant number, since it is smaller than the sum of its proper divisors (239574).

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

137130 is a wasteful number, since it uses less digits than its factorization.

137130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 137130 is about 370.3106803753. The cubic root of 137130 is about 51.5676679852.

Adding to 137130 its reverse (31731), we get a palindrome (168861).

The spelling of 137130 in words is "one hundred thirty-seven thousand, one hundred thirty".