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145677675 = 352111317247
BaseRepresentation
bin10001010111011…
…01110101101011
3101011010012012110
420223231311223
5244243141200
622242213403
73416145153
oct1053556553
9334105173
10145677675
117525a880
1240954263
1324247710
14154c1763
15cbc8b50
hex8aedd6b

145677675 has 144 divisors (see below), whose sum is σ = 306980352. Its totient is φ = 60057600.

The previous prime is 145677671. The next prime is 145677677. The reversal of 145677675 is 576776541.

It is not a de Polignac number, because 145677675 - 22 = 145677671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145677671) 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 143 ways as a sum of consecutive naturals, for example, 3099502 + ... + 3099548.

It is an arithmetic number, because the mean of its divisors is an integer number (2131808).

Almost surely, 2145677675 is an apocalyptic number.

145677675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145677675 is an abundant number, since it is smaller than the sum of its proper divisors (161302677).

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

145677675 is a wasteful number, since it uses less digits than its factorization.

145677675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 48.

The square root of 145677675 is about 12069.7007005145. The cubic root of 145677675 is about 526.1759580854.

The spelling of 145677675 in words is "one hundred forty-five million, six hundred seventy-seven thousand, six hundred seventy-five".

Divisors: 1 3 5 11 13 15 17 25 33 39 47 51 55 65 75 85 141 143 165 187 195 221 235 255 275 289 325 425 429 517 561 611 663 705 715 799 825 867 935 975 1105 1175 1275 1445 1551 1833 2145 2397 2431 2585 2805 3055 3179 3315 3525 3575 3757 3995 4335 4675 5525 6721 7225 7293 7755 8789 9165 9537 10387 10725 11271 11985 12155 12925 13583 14025 15275 15895 16575 18785 19975 20163 21675 26367 31161 33605 36465 38775 40749 41327 43945 45825 47685 51935 56355 59925 60775 67915 79475 93925 100815 114257 123981 131835 149413 155805 168025 176579 182325 203745 206635 219725 238425 259675 281775 339575 342771 448239 504075 529737 571285 619905 659175 747065 779025 882895 1018725 1033175 1713855 1942369 2241195 2648685 2856425 3099525 3735325 4414475 5827107 8569275 9711845 11205975 13243425 29135535 48559225 145677675