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144460134 = 232721343293
BaseRepresentation
bin10001001110001…
…00100101100110
3101001211100001100
420213010211212
5243440211014
622200140530
73402614400
oct1047044546
9331740040
10144460134
11745a9045
1240467746
1323c0c490
1415285b70
15ca38009
hex89c4966

144460134 has 144 divisors (see below), whose sum is σ = 402594192. Its totient is φ = 37086336.

The previous prime is 144460117. The next prime is 144460153. The reversal of 144460134 is 431064441.

144460134 is a `hidden beast` number, since 14 + 44 + 601 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144460098 and 144460107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 492892 + ... + 493184.

It is an arithmetic number, because the mean of its divisors is an integer number (2795793).

Almost surely, 2144460134 is an apocalyptic number.

144460134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144460134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201297096).

144460134 is an abundant number, since it is smaller than the sum of its proper divisors (258134058).

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

144460134 is a wasteful number, since it uses less digits than its factorization.

144460134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 144460134 is about 12019.1569587887. The cubic root of 144460134 is about 524.7059686890.

The spelling of 144460134 in words is "one hundred forty-four million, four hundred sixty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 43 49 63 78 86 91 98 117 126 129 147 182 234 258 273 293 294 301 387 441 546 559 586 602 637 774 819 879 882 903 1118 1274 1638 1677 1758 1806 1911 2051 2107 2637 2709 3354 3809 3822 3913 4102 4214 5031 5274 5418 5733 6153 6321 7618 7826 10062 11427 11466 11739 12306 12599 12642 14357 18459 18963 22854 23478 25198 26663 27391 28714 34281 35217 36918 37797 37926 43071 53326 54782 68562 70434 75594 79989 82173 86142 88193 113391 129213 159978 163787 164346 176386 186641 226782 239967 246519 258426 264579 327574 373282 479934 491361 493038 529158 559923 617351 793737 982722 1119846 1146509 1234702 1474083 1587474 1679769 1852053 2293018 2948166 3359538 3439527 3704106 5556159 6879054 8025563 10318581 11112318 16051126 20637162 24076689 48153378 72230067 144460134