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159120000 = 2732541317
BaseRepresentation
bin10010111101111…
…11101010000000
3102002102010121100
421132333222000
5311213320000
623442254400
73641332464
oct1136775200
9362363540
10159120000
1181901236
1245357400
1326c73060
14171c04a4
15de81a00
hex97bfa80

159120000 has 480 divisors, whose sum is σ = 652431780. Its totient is φ = 36864000.

The previous prime is 159119977. The next prime is 159120007. The reversal of 159120000 is 21951.

It can be written as a sum of positive squares in 10 ways, for example, as 16842816 + 142277184 = 4104^2 + 11928^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159120007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9359992 + ... + 9360008.

Almost surely, 2159120000 is an apocalyptic number.

159120000 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 159120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326215890).

159120000 is an abundant number, since it is smaller than the sum of its proper divisors (493311780).

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

159120000 is a wasteful number, since it uses less digits than its factorization.

159120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 159120000 is about 12614.2776249772. The cubic root of 159120000 is about 541.8864065717.

Adding to 159120000 its reverse (21951), we get a palindrome (159141951).

The spelling of 159120000 in words is "one hundred fifty-nine million, one hundred twenty thousand".