135920 has 20 divisors (see below), whose sum is σ = 316200. Its totient is φ = 54336.

The previous prime is 135913. The next prime is 135929. The reversal of 135920 is 29531.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 135892 and 135901.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135920.

It is not an unprimeable number, because it can be changed into a prime (135929) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 770 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (15810).

2¹³⁵⁹²⁰ is an apocalyptic number.

135920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135920 is an abundant number, since it is smaller than the sum of its proper divisors (180280).

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

135920 is a wasteful number, since it uses less digits than its factorization.

135920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 135920 is about 368.6732971073. The cubic root of 135920 is about 51.4155463782.

The spelling of 135920 in words is "one hundred thirty-five thousand, nine hundred twenty".