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145063125 = 3254173741
BaseRepresentation
bin10001010010101…
…11110011010101
3101002221222012100
420221113303111
5244114010000
622221112313
73411005364
oct1051276325
9332858170
10145063125
1174980089
12406b8699
1324090a8c
14153a17db
15cb06a00
hex8a57cd5

145063125 has 120 divisors (see below), whose sum is σ = 291675384. Its totient is φ = 69120000.

The previous prime is 145063111. The next prime is 145063129. The reversal of 145063125 is 521360541.

145063125 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 631 + 25 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 139216401 + 5846724 = 11799^2 + 2418^2 .

It is not a de Polignac number, because 145063125 - 24 = 145063109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145063129) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3538105 + ... + 3538145.

Almost surely, 2145063125 is an apocalyptic number.

145063125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145063125 is an abundant number, since it is smaller than the sum of its proper divisors (146612259).

145063125 is a wasteful number, since it uses less digits than its factorization.

145063125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 145063125 is about 12044.2154165392. The cubic root of 145063125 is about 525.4350135990.

The spelling of 145063125 in words is "one hundred forty-five million, sixty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 37 41 45 51 75 85 111 123 125 153 185 205 225 255 333 369 375 425 555 615 625 629 697 765 925 1025 1125 1275 1517 1665 1845 1875 1887 2091 2125 2775 3075 3145 3485 3825 4551 4625 5125 5625 5661 6273 6375 7585 8325 9225 9435 10455 10625 13653 13875 15375 15725 17425 19125 22755 23125 25625 25789 28305 31365 31875 37925 41625 46125 47175 52275 68265 69375 76875 77367 78625 87125 95625 113775 128945 141525 156825 189625 208125 230625 232101 235875 261375 341325 386835 393125 435625 568875 644725 707625 784125 948125 1160505 1179375 1306875 1706625 1934175 2844375 3223625 3538125 3920625 5802525 8533125 9670875 16118125 29012625 48354375 145063125