137830 has 32 divisors (see below), whose sum is σ = 311040. Its totient is φ = 42720.

The previous prime is 137827. The next prime is 137831. The reversal of 137830 is 38731.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137831) 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, 681 + ... + 859.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2¹³⁷⁸³⁰ is an apocalyptic number.

137830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137830 is an abundant number, since it is smaller than the sum of its proper divisors (173210).

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

137830 is a wasteful number, since it uses less digits than its factorization.

137830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 137830 is about 371.2546296008. The cubic root of 137830 is about 51.6552639884.

Subtracting from 137830 its reverse (38731), we obtain a palindrome (99099).

The spelling of 137830 in words is "one hundred thirty-seven thousand, eight hundred thirty".