158004800 has 168 divisors, whose sum is σ = 425479464. Its totient is φ = 57507840.

The previous prime is 158004793. The next prime is 158004811. The reversal of 158004800 is 8400851.

158004800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 10916416 + 147088384 = 3304^2 + 12128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 158004800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006322 + ... + 1006478.

Almost surely, 2^158004800 is an apocalyptic number.

158004800 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 158004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212739732).

158004800 is an abundant number, since it is smaller than the sum of its proper divisors (267474664).

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

158004800 is a wasteful number, since it uses less digits than its factorization.

158004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 158004800 is about 12569.9960222746. The cubic root of 158004800 is about 540.6174920717.

The spelling of 158004800 in words is "one hundred fifty-eight million, four thousand, eight hundred".