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145086864 = 243134153107
BaseRepresentation
bin10001010010111…
…01100110010000
3101010000011202120
420221131212100
5244120234424
622221414240
73411134526
oct1051354620
9333004676
10145086864
11749969aa
124070a380
132409b820
14153aa316
15cb0da79
hex8a5d990

145086864 has 160 divisors (see below), whose sum is σ = 425222784. Its totient is φ = 42332160.

The previous prime is 145086863. The next prime is 145086871. The reversal of 145086864 is 468680541.

It is not an unprimeable number, because it can be changed into a prime (145086863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1355899 + ... + 1356005.

Almost surely, 2145086864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145086864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212611392).

145086864 is an abundant number, since it is smaller than the sum of its proper divisors (280135920).

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

145086864 is a wasteful number, since it uses less digits than its factorization.

145086864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 145086864 is about 12045.2008700561. The cubic root of 145086864 is about 525.4636738149.

The spelling of 145086864 in words is "one hundred forty-five million, eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 53 78 82 104 106 107 123 156 159 164 208 212 214 246 312 318 321 328 424 428 492 533 624 636 642 656 689 848 856 984 1066 1272 1284 1378 1391 1599 1712 1968 2067 2132 2173 2544 2568 2756 2782 3198 4134 4173 4264 4346 4387 5136 5512 5564 5671 6396 6519 8268 8346 8528 8692 8774 11024 11128 11342 12792 13038 13161 16536 16692 17013 17384 17548 22256 22684 25584 26076 26322 28249 33072 33384 34026 34768 35096 45368 52152 52644 56498 57031 66768 68052 70192 73723 84747 90736 104304 105288 112996 114062 136104 147446 169494 171093 210576 221169 225992 228124 232511 272208 294892 338988 342186 442338 451984 456248 465022 589784 677976 684372 697533 884676 912496 930044 1179568 1355952 1368744 1395066 1769352 1860088 2737488 2790132 3022643 3538704 3720176 5580264 6045286 9067929 11160528 12090572 18135858 24181144 36271716 48362288 72543432 145086864