158468800 has 84 divisors (see below), whose sum is σ = 445668400. Its totient is φ = 54328320.

The previous prime is 158468773. The next prime is 158468831. The reversal of 158468800 is 8864851.

It is a super-2 number, since 2×158468800² = 50224721146880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4126 + ... + 18274.

Almost surely, 2^158468800 is an apocalyptic number.

158468800 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 158468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222834200).

158468800 is an abundant number, since it is smaller than the sum of its proper divisors (287199600).

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

158468800 is a wasteful number, since it uses less digits than its factorization.

158468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14178 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 158468800 is about 12588.4391407354. The cubic root of 158468800 is about 541.1461708823.

The spelling of 158468800 in words is "one hundred fifty-eight million, four hundred sixty-eight thousand, eight hundred".