159642900 has 90 divisors (see below), whose sum is σ = 517525470. Its totient is φ = 42569280.

The previous prime is 159642859. The next prime is 159642907. The reversal of 159642900 is 9246951.

159642900 is a `hidden beast` number, since 1 + 5 + 9 + 642 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10265616 + 149377284 = 3204^2 + 12222^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159642907) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 1755 + ... + 17954.

It is an arithmetic number, because the mean of its divisors is an integer number (5750283).

Almost surely, 2^159642900 is an apocalyptic number.

159642900 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 159642900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258762735).

159642900 is an abundant number, since it is smaller than the sum of its proper divisors (357882570).

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

159642900 is a wasteful number, since it uses less digits than its factorization.

159642900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19735 (or 19719 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 159642900 is about 12634.9871388933. The cubic root of 159642900 is about 542.4793397527.

The spelling of 159642900 in words is "one hundred fifty-nine million, six hundred forty-two thousand, nine hundred".