159942182400 has 2880 divisors, whose sum is σ = 820052513280. Its totient is φ = 28665446400.

The previous prime is 159942182369. The next prime is 159942182417. The reversal of 159942182400 is 4281249951.

It is a happy number.

159942182400 is a `hidden beast` number, since 1 + 599 + 4 + 2 + 18 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2190988764 + ... + 2190988836.

It is an arithmetic number, because the mean of its divisors is an integer number (284740456).

Almost surely, 2^159942182400 is an apocalyptic number.

159942182400 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 159942182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410026256640).

159942182400 is an abundant number, since it is smaller than the sum of its proper divisors (660110330880).

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

159942182400 is a wasteful number, since it uses less digits than its factorization.

159942182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 159942182400 in words is "one hundred fifty-nine billion, nine hundred forty-two million, one hundred eighty-two thousand, four hundred".