158800 has 30 divisors (see below), whose sum is σ = 382478. Its totient is φ = 63360.

The previous prime is 158791. The next prime is 158803. The reversal of 158800 is 8851.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 141376 = 132^2 + 376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158803) 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 5 ways as a sum of consecutive naturals, for example, 202 + ... + 598.

2¹⁵⁸⁸⁰⁰ is an apocalyptic number.

158800 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 158800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191239).

158800 is an abundant number, since it is smaller than the sum of its proper divisors (223678).

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

158800 is a wasteful number, since it uses less digits than its factorization.

158800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 158800 is about 398.4971769034. The cubic root of 158800 is about 54.1522907280.

The spelling of 158800 in words is "one hundred fifty-eight thousand, eight hundred".