155920 has 20 divisors (see below), whose sum is σ = 362700. Its totient is φ = 62336.

The previous prime is 155893. The next prime is 155921. The reversal of 155920 is 29551.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 63504 = 304^2 + 252^2 .

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

It is a super-2 number, since 2×155920² = 48622092800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 155891 and 155900.

It is not an unprimeable number, because it can be changed into a prime (155921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 895 + ... + 1054.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2¹⁵⁵⁹²⁰ is an apocalyptic number.

155920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155920 is an abundant number, since it is smaller than the sum of its proper divisors (206780).

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

155920 is a wasteful number, since it uses less digits than its factorization.

155920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 155920 is about 394.8670662388. The cubic root of 155920 is about 53.8229224746.

The spelling of 155920 in words is "one hundred fifty-five thousand, nine hundred twenty".