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144160128 = 2733759101
BaseRepresentation
bin10001001011110…
…11010110000000
3101001021002112000
420211323112000
5243401111003
622145504000
73400224630
oct1045732600
9331232460
10144160128
1174413702
1240342000
1323b35a68
14152086c0
15c9c91a3
hex897b580

144160128 has 256 divisors, whose sum is σ = 499392000. Its totient is φ = 40089600.

The previous prime is 144160063. The next prime is 144160147. The reversal of 144160128 is 821061441.

It is a happy number.

144160128 is a `hidden beast` number, since 14 + 41 + 601 + 2 + 8 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427278 + ... + 1427378.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 2144160128 is an apocalyptic number.

144160128 is a gapful number since it is divisible by the number (18) 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 144160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249696000).

144160128 is an abundant number, since it is smaller than the sum of its proper divisors (355231872).

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

144160128 is a wasteful number, since it uses less digits than its factorization.

144160128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 144160128 is about 12006.6701462146. The cubic root of 144160128 is about 524.3424911669.

The spelling of 144160128 in words is "one hundred forty-four million, one hundred sixty thousand, one hundred twenty-eight".