158832000 has 192 divisors, whose sum is σ = 570922560. Its totient is φ = 42316800.

The previous prime is 158831989. The next prime is 158832007. The reversal of 158832000 is 238851.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158832007) by changing a digit.

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, 143449 + ... + 144551.

It is an arithmetic number, because the mean of its divisors is an integer number (2973555).

Almost surely, 2^158832000 is an apocalyptic number.

158832000 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 158832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285461280).

158832000 is an abundant number, since it is smaller than the sum of its proper divisors (412090560).

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

158832000 is a wasteful number, since it uses less digits than its factorization.

158832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1113 counting only the distinct ones).

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

The square root of 158832000 is about 12602.8568189915. The cubic root of 158832000 is about 541.5592791716.

The spelling of 158832000 in words is "one hundred fifty-eight million, eight hundred thirty-two thousand".