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145241775 = 3352759521
BaseRepresentation
bin10001010100000…
…11011010101111
3101010022001021000
420222003122233
5244140214100
622225011343
73412351260
oct1052033257
9333261230
10145241775
1174a92328
1240783b53
13241241a3
141540a967
15cb3e900
hex8a836af

145241775 has 96 divisors (see below), whose sum is σ = 310694400. Its totient is φ = 65145600.

The previous prime is 145241771. The next prime is 145241791. The reversal of 145241775 is 577142541.

145241775 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145241775 - 22 = 145241771 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145241771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278515 + ... + 279035.

It is an arithmetic number, because the mean of its divisors is an integer number (3236400).

Almost surely, 2145241775 is an apocalyptic number.

145241775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145241775 is an abundant number, since it is smaller than the sum of its proper divisors (165452625).

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

145241775 is a wasteful number, since it uses less digits than its factorization.

145241775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 595 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 145241775 is about 12051.6295578648. The cubic root of 145241775 is about 525.6506219357.

The spelling of 145241775 in words is "one hundred forty-five million, two hundred forty-one thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 59 63 75 105 135 175 177 189 225 295 315 413 521 525 531 675 885 945 1239 1475 1563 1575 1593 2065 2605 2655 3647 3717 4425 4689 4725 6195 7815 7965 10325 10941 11151 13025 13275 14067 18235 18585 23445 30739 30975 32823 39075 39825 54705 55755 70335 91175 92217 92925 98469 117225 153695 164115 215173 273525 276651 278775 351675 461085 492345 645519 768475 820575 829953 1075865 1383255 1936557 2305425 2461725 3227595 4149765 5379325 5809671 6916275 9682785 16137975 20748825 29048355 48413925 145241775