158328000 has 224 divisors, whose sum is σ = 581680320. Its totient is φ = 42163200.

The previous prime is 158327999. The next prime is 158328011. The reversal of 158328000 is 823851.

It is a happy number.

158328000 is a `hidden beast` number, since 1 + 583 + 2 + 80 + 0 + 0 = 666.

158328000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215634 + ... + 216366.

Almost surely, 2^158328000 is an apocalyptic number.

158328000 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 158328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290840160).

158328000 is an abundant number, since it is smaller than the sum of its proper divisors (423352320).

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

158328000 is an equidigital number, since it uses as much as digits as its factorization.

158328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 158328000 is about 12582.8454651561. The cubic root of 158328000 is about 540.9858533981.

It can be divided in two parts, 15832 and 8000, that added together give a palindrome (23832).

The spelling of 158328000 in words is "one hundred fifty-eight million, three hundred twenty-eight thousand".