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158668146 = 23471347229
BaseRepresentation
bin10010111010100…
…01010101110010
3102001120011210000
421131101111302
5311104340041
623424450430
73634441230
oct1135212562
9361504700
10158668146
11816227aa
1245179a16
1326b454a0
1417103950
15dde2bb6
hex9751572

158668146 has 160 divisors (see below), whose sum is σ = 448842240. Its totient is φ = 40777344.

The previous prime is 158668141. The next prime is 158668189. The reversal of 158668146 is 641866851.

158668146 is a `hidden beast` number, since 1 + 586 + 68 + 1 + 4 + 6 = 666.

158668146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (158668141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 692760 + ... + 692988.

It is an arithmetic number, because the mean of its divisors is an integer number (2805264).

Almost surely, 2158668146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158668146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224421120).

158668146 is an abundant number, since it is smaller than the sum of its proper divisors (290174094).

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

158668146 is a wasteful number, since it uses less digits than its factorization.

158668146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 158668146 is about 12596.3544726242. The cubic root of 158668146 is about 541.3729876062.

The spelling of 158668146 in words is "one hundred fifty-eight million, six hundred sixty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 47 54 63 78 81 91 94 117 126 141 162 182 189 229 234 273 282 329 351 378 423 458 546 567 611 658 687 702 819 846 987 1053 1134 1222 1269 1374 1603 1638 1833 1974 2061 2106 2457 2538 2961 2977 3206 3666 3807 4122 4277 4809 4914 5499 5922 5954 6183 7371 7614 8554 8883 8931 9618 10763 10998 12366 12831 14427 14742 16497 17766 17862 18549 20839 21526 25662 26649 26793 28854 32289 32994 37098 38493 41678 43281 49491 53298 53586 62517 64578 75341 76986 80379 86562 96867 98982 115479 125034 129843 139919 150682 160758 187551 193734 226023 230958 241137 259686 279838 290601 346437 375102 419757 452046 482274 562653 581202 678069 692874 839514 871803 979433 1125306 1259271 1356138 1687959 1743606 1958866 2034207 2518542 2938299 3375918 3777813 4068414 5876598 6102621 7555626 8814897 11333439 12205242 17629794 22666878 26444691 52889382 79334073 158668146