159742800 has 240 divisors, whose sum is σ = 650097280. Its totient is φ = 36495360.

The previous prime is 159742799. The next prime is 159742811. The reversal of 159742800 is 8247951.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 74544 + ... + 76656.

Almost surely, 2^159742800 is an apocalyptic number.

159742800 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 159742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325048640).

159742800 is an abundant number, since it is smaller than the sum of its proper divisors (490354480).

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

159742800 is a wasteful number, since it uses less digits than its factorization.

159742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 159742800 is about 12638.9398289572. The cubic root of 159742800 is about 542.5924722204.

The spelling of 159742800 in words is "one hundred fifty-nine million, seven hundred forty-two thousand, eight hundred".