158381568000 has 1248 divisors, whose sum is σ = 632560131840. Its totient is φ = 39414988800.

The previous prime is 158381567983. The next prime is 158381568017. The reversal of 158381568000 is 865183851.

158381568000 is a `hidden beast` number, since 1 + 5 + 8 + 3 + 81 + 568 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (158381567983) and next prime (158381568017).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2363903967 + ... + 2363904033.

It is an arithmetic number, because the mean of its divisors is an integer number (506859080).

Almost surely, 2^158381568000 is an apocalyptic number.

158381568000 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 158381568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316280065920).

158381568000 is an abundant number, since it is smaller than the sum of its proper divisors (474178563840).

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

158381568000 is an frugal number, since it uses more digits than its factorization.

158381568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 158381568000 in words is "one hundred fifty-eight billion, three hundred eighty-one million, five hundred sixty-eight thousand".