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145335465 = 345111719101
BaseRepresentation
bin10001010100110…
…10010010101001
3101010110210210000
420222122102221
5244201213330
622231013213
73413221362
oct1052322251
9333423700
10145335465
1175046760
124080a209
1324157a22
1415432b69
15cb5c560
hex8a9a4a9

145335465 has 160 divisors (see below), whose sum is σ = 319904640. Its totient is φ = 62208000.

The previous prime is 145335451. The next prime is 145335469. The reversal of 145335465 is 564533541.

145335465 is a `hidden beast` number, since 14 + 533 + 54 + 65 = 666.

It is not a de Polignac number, because 145335465 - 26 = 145335401 is a prime.

It is a super-2 number, since 2×1453354652 = 42244794773532450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145335469) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1438915 + ... + 1439015.

It is an arithmetic number, because the mean of its divisors is an integer number (1999404).

Almost surely, 2145335465 is an apocalyptic number.

145335465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145335465 is an abundant number, since it is smaller than the sum of its proper divisors (174569175).

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

145335465 is a wasteful number, since it uses less digits than its factorization.

145335465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 145335465 is about 12055.5159574362. The cubic root of 145335465 is about 525.7636234491.

The spelling of 145335465 in words is "one hundred forty-five million, three hundred thirty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 17 19 27 33 45 51 55 57 81 85 95 99 101 135 153 165 171 187 209 255 285 297 303 323 405 459 495 505 513 561 627 765 855 891 909 935 969 1045 1111 1377 1485 1515 1539 1615 1683 1717 1881 1919 2295 2565 2727 2805 2907 3135 3333 3553 4455 4545 4845 5049 5151 5555 5643 5757 6885 7695 8181 8415 8585 8721 9405 9595 9999 10659 13635 14535 15147 15453 16665 16929 17271 17765 18887 21109 25245 25755 26163 28215 28785 29997 31977 32623 40905 43605 46359 49995 51813 53295 56661 63327 75735 77265 84645 86355 89991 94435 95931 97869 105545 130815 139077 149985 155439 159885 163115 169983 189981 231795 259065 283305 287793 293607 316635 358853 449955 479655 489345 509949 569943 695385 777195 849915 880821 949905 1076559 1438965 1468035 1529847 1709829 1794265 2549745 2642463 2849715 3229677 4404105 5382795 7649235 8549145 9689031 13212315 16148385 29067093 48445155 145335465