155808 has 36 divisors (see below), whose sum is σ = 443898. Its totient is φ = 51840.

The previous prime is 155801. The next prime is 155809. The reversal of 155808 is 808551.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 17424 = 372^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×155808² = 48552265728, which contains 22 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (155801) by changing a digit.

155808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 18 + ... + 558.

2¹⁵⁵⁸⁰⁸ is an apocalyptic number.

155808 is a gapful number since it is divisible by the number (18) 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 155808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221949).

155808 is an abundant number, since it is smaller than the sum of its proper divisors (288090).

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

155808 is a wasteful number, since it uses less digits than its factorization.

155808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 155808 is about 394.7252208816. The cubic root of 155808 is about 53.8100320794.

The spelling of 155808 in words is "one hundred fifty-five thousand, eight hundred eight".