136820 has 12 divisors (see below), whose sum is σ = 287364. Its totient is φ = 54720.

The previous prime is 136813. The next prime is 136841. The reversal of 136820 is 28631.

It can be written as a sum of positive squares in 2 ways, for example, as 77284 + 59536 = 278^2 + 244^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6841 = 136820 / (1 + 3 + 6 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 136792 and 136801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3401 + ... + 3440.

It is an arithmetic number, because the mean of its divisors is an integer number (23947).

2¹³⁶⁸²⁰ is an apocalyptic number.

136820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136820 is an abundant number, since it is smaller than the sum of its proper divisors (150544).

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

136820 is a wasteful number, since it uses less digits than its factorization.

136820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 136820 is about 369.8918760935. The cubic root of 136820 is about 51.5287802185.

The spelling of 136820 in words is "one hundred thirty-six thousand, eight hundred twenty".