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135251046 = 2347412909
BaseRepresentation
bin10000000111111…
…00010001100110
3100102111110120000
420003330101212
5234111013141
621230522130
73231420630
oct1003742146
9312443500
10135251046
116a389127
1239366346
1322036908
1413d69a50
15bd195b6
hex80fc466

135251046 has 80 divisors (see below), whose sum is σ = 354926880. Its totient is φ = 37687680.

The previous prime is 135251033. The next prime is 135251059. The reversal of 135251046 is 640152531.

It is an interprime number because it is at equal distance from previous prime (135251033) and next prime (135251059).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45040 + ... + 47948.

It is an arithmetic number, because the mean of its divisors is an integer number (4436586).

Almost surely, 2135251046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135251046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177463440).

135251046 is an abundant number, since it is smaller than the sum of its proper divisors (219675834).

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

135251046 is a wasteful number, since it uses less digits than its factorization.

135251046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135251046 is about 11629.7483205786. The cubic root of 135251046 is about 513.3105742238.

The spelling of 135251046 in words is "one hundred thirty-five million, two hundred fifty-one thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 81 82 123 126 162 189 246 287 369 378 567 574 738 861 1107 1134 1722 2214 2583 2909 3321 5166 5818 6642 7749 8727 15498 17454 20363 23247 26181 40726 46494 52362 61089 78543 119269 122178 157086 183267 235629 238538 357807 366534 471258 549801 715614 834883 1073421 1099602 1649403 1669766 2146842 2504649 3220263 3298806 5009298 6440526 7513947 9660789 15027894 19321578 22541841 45083682 67625523 135251046