158976000 has 384 divisors, whose sum is σ = 613267200. Its totient is φ = 40550400.

The previous prime is 158975981. The next prime is 158976007. The reversal of 158976000 is 679851.

158976000 is a `hidden beast` number, since 1 + 589 + 76 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (158976007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911989 + ... + 6912011.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^158976000 is an apocalyptic number.

158976000 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 158976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).

158976000 is an abundant number, since it is smaller than the sum of its proper divisors (454291200).

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

158976000 is an equidigital number, since it uses as much as digits as its factorization.

158976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 158976000 is about 12608.5685151011. The cubic root of 158976000 is about 541.7228922569.

The spelling of 158976000 in words is "one hundred fifty-eight million, nine hundred seventy-six thousand".