159200640 has 320 divisors, whose sum is σ = 590934960. Its totient is φ = 40808448.

The previous prime is 159200627. The next prime is 159200651. The reversal of 159200640 is 46002951.

159200640 is a `hidden beast` number, since 15 + 9 + 2 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-4 number, since 4×159200640⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 1918039 + ... + 1918121.

Almost surely, 2^159200640 is an apocalyptic number.

159200640 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 159200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295467480).

159200640 is an abundant number, since it is smaller than the sum of its proper divisors (431734320).

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

159200640 is an equidigital number, since it uses as much as digits as its factorization.

159200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 159200640 is about 12617.4735981495. The cubic root of 159200640 is about 541.9779315007.

The spelling of 159200640 in words is "one hundred fifty-nine million, two hundred thousand, six hundred forty".