| Base | Representation |
|---|---|
| bin | 10001010100101… |
| … | …11101100000000 |
| 3 | 101010110021011000 |
| 4 | 20222113230000 |
| 5 | 244200343200 |
| 6 | 22230452000 |
| 7 | 3413145315 |
| oct | 1052275400 |
| 9 | 333407130 |
| 10 | 145324800 |
| 11 | 75039745 |
| 12 | 40804000 |
| 13 | 24152c0a |
| 14 | 1542cd0c |
| 15 | cb59300 |
| hex | 8a97b00 |
145324800 has 324 divisors, whose sum is σ = 551900440. Its totient is φ = 37416960.
The previous prime is 145324793. The next prime is 145324811. The reversal of 145324800 is 8423541.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a super-2 number, since 2×1453248002 = 42238594990080000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5011186 + ... + 5011214.
Almost surely, 2145324800 is an apocalyptic number.
145324800 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 145324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275950220).
145324800 is an abundant number, since it is smaller than the sum of its proper divisors (406575640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145324800 is an equidigital number, since it uses as much as digits as its factorization.
145324800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93 (or 39 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 145324800 is about 12055.0736206794. The cubic root of 145324800 is about 525.7507626144.
Multiplying 145324800 by its sum of digits (27), we get a square (3923769600 = 626402).
145324800 divided by its sum of digits (27) gives a square (5382400 = 23202).
The spelling of 145324800 in words is "one hundred forty-five million, three hundred twenty-four thousand, eight hundred".
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