158400 has 126 divisors (see below), whose sum is σ = 614172. Its totient is φ = 38400.

The previous prime is 158393. The next prime is 158407. The reversal of 158400 is 4851.

It is an interprime number because it is at equal distance from previous prime (158393) and next prime (158407).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (158407) 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 17 ways as a sum of consecutive naturals, for example, 14395 + ... + 14405.

2¹⁵⁸⁴⁰⁰ is an apocalyptic number.

158400 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 158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307086).

158400 is an abundant number, since it is smaller than the sum of its proper divisors (455772).

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

158400 is a wasteful number, since it uses less digits than its factorization.

158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 158400 is about 397.9949748426. The cubic root of 158400 is about 54.1067845799.

158400 divided by its product of nonzero digits (160) gives a triangular number (990 = T₄₄).

Multiplying 158400 by its reverse (4851), we get a square (768398400 = 27720²).

The spelling of 158400 in words is "one hundred fifty-eight thousand, four hundred".