134820 has 72 divisors (see below), whose sum is σ = 471744. Its totient is φ = 30528.

The previous prime is 134807. The next prime is 134837. The reversal of 134820 is 28431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 134793 and 134802.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 134820.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 1207 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2¹³⁴⁸²⁰ is an apocalyptic number.

134820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

134820 is an abundant number, since it is smaller than the sum of its proper divisors (336924).

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

134820 is a wasteful number, since it uses less digits than its factorization.

134820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 134820 is about 367.1784307391. The cubic root of 134820 is about 51.2764685803.

The spelling of 134820 in words is "one hundred thirty-four thousand, eight hundred twenty".