| Base | Representation |
|---|---|
| bin | 1000011100110111100… |
| … | …1010111011000000000 |
| 3 | 111212202102101012220000 |
| 4 | 2013031321113120000 |
| 5 | 4334321200204000 |
| 6 | 150410520520000 |
| 7 | 13326621041250 |
| oct | 2071571273000 |
| 9 | 455672335800 |
| 10 | 145188288000 |
| 11 | 56635004768 |
| 12 | 2417b320000 |
| 13 | 108ca736cb2 |
| 14 | 7054703960 |
| 15 | 3b9b46c000 |
| hex | 21cde57600 |
145188288000 has 800 divisors, whose sum is σ = 618233698368. Its totient is φ = 33177600000.
The previous prime is 145188287999. The next prime is 145188288001. The reversal of 145188288000 is 882881541.
145188288000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (145188287999) and next prime (145188288001).
It is a tau number, because it is divible by the number of its divisors (800).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145188288001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36286000 + ... + 36290000.
Almost surely, 2145188288000 is an apocalyptic number.
145188288000 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 145188288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309116849184).
145188288000 is an abundant number, since it is smaller than the sum of its proper divisors (473045410368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145188288000 is an frugal number, since it uses more digits than its factorization.
145188288000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4053 (or 4018 counting only the distinct ones).
The product of its (nonzero) digits is 163840, while the sum is 45.
The spelling of 145188288000 in words is "one hundred forty-five billion, one hundred eighty-eight million, two hundred eighty-eight thousand".
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