158009256000 has 336 divisors, whose sum is σ = 570256800048. Its totient is φ = 41760768000.

The previous prime is 158009255981. The next prime is 158009256007. The reversal of 158009256000 is 652900851.

It is a happy number.

158009256000 is a `hidden beast` number, since 1 + 5 + 8 + 0 + 0 + 92 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 51973056576 + 106036199424 = 227976^2 + 325632^2 .

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 (158009256007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8126290 + ... + 8145710.

Almost surely, 2^158009256000 is an apocalyptic number.

158009256000 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 158009256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285128400024).

158009256000 is an abundant number, since it is smaller than the sum of its proper divisors (412247544048).

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

158009256000 is a wasteful number, since it uses less digits than its factorization.

158009256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19567 (or 19544 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 158009256000 in words is "one hundred fifty-eight billion, nine million, two hundred fifty-six thousand".