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135322044 = 2231121367107
BaseRepresentation
bin10000001000011…
…01100110111100
3100102122001221120
420010031212330
5234120301134
621232230540
73232134624
oct1004154674
9312561846
10135322044
116a427500
123939b450
1322060020
1413d87884
15bd30649
hex810d9bc

135322044 has 144 divisors (see below), whose sum is σ = 382886784. Its totient is φ = 36938880.

The previous prime is 135322043. The next prime is 135322051. The reversal of 135322044 is 440223531.

135322044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135322043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264639 + ... + 1264745.

It is an arithmetic number, because the mean of its divisors is an integer number (2658936).

Almost surely, 2135322044 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 135322044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191443392).

135322044 is an abundant number, since it is smaller than the sum of its proper divisors (247564740).

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

135322044 is a wasteful number, since it uses less digits than its factorization.

135322044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 135322044 is about 11632.8003507324. The cubic root of 135322044 is about 513.4003767310.

Adding to 135322044 its reverse (440223531), we get a palindrome (575545575).

It can be divided in two parts, 13532 and 2044, that added together give a triangular number (15576 = T176).

The spelling of 135322044 in words is "one hundred thirty-five million, three hundred twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 67 78 107 121 132 134 143 156 201 214 242 268 286 321 363 402 428 429 484 572 642 726 737 804 858 871 1177 1284 1391 1452 1474 1573 1716 1742 2211 2354 2613 2782 2948 3146 3484 3531 4173 4422 4708 4719 5226 5564 6292 7062 7169 8107 8346 8844 9438 9581 10452 12947 14124 14338 15301 16214 16692 18876 19162 21507 24321 25894 28676 28743 30602 32428 38324 38841 43014 45903 48642 51788 57486 61204 77682 78859 86028 91806 93197 97284 105391 114972 155364 157718 168311 183612 186394 210782 236577 279591 315436 316173 336622 372788 421564 473154 504933 559182 632346 673244 867449 946308 1009866 1025167 1118364 1264692 1734898 2019732 2050334 2602347 3075501 3469796 4100668 5204694 6151002 10409388 11276837 12302004 22553674 33830511 45107348 67661022 135322044