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135218832 = 2437343191
BaseRepresentation
bin10000000111101…
…00011010010000
3100102102211100220
420003310122100
5234104000312
621230113040
73231225000
oct1003643220
9312384326
10135218832
116a366a01
123934b780
1322025058
1413d5c000
15bd0ec8c
hex80f4690

135218832 has 160 divisors (see below), whose sum is σ = 419020800. Its totient is φ = 37537920.

The previous prime is 135218827. The next prime is 135218887. The reversal of 135218832 is 238812531.

It is a junction number, because it is equal to n+sod(n) for n = 135218793 and 135218802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707857 + ... + 708047.

It is an arithmetic number, because the mean of its divisors is an integer number (2618880).

Almost surely, 2135218832 is an apocalyptic number.

135218832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135218832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209510400).

135218832 is an abundant number, since it is smaller than the sum of its proper divisors (283801968).

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

135218832 is a wasteful number, since it uses less digits than its factorization.

135218832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 246 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 135218832 is about 11628.3632554199. The cubic root of 135218832 is about 513.2698176694.

The spelling of 135218832 in words is "one hundred thirty-five million, two hundred eighteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 191 196 258 294 301 336 343 344 382 392 516 573 588 602 686 688 764 784 903 1029 1032 1146 1176 1204 1337 1372 1528 1806 2058 2064 2107 2292 2352 2408 2674 2744 3056 3612 4011 4116 4214 4584 4816 5348 5488 6321 7224 8022 8213 8232 8428 9168 9359 10696 12642 14448 14749 16044 16426 16464 16856 18718 21392 24639 25284 28077 29498 32088 32852 33712 37436 44247 49278 50568 56154 57491 58996 64176 65513 65704 74872 88494 98556 101136 112308 114982 117992 131026 131408 149744 172473 176988 196539 197112 224616 229964 235984 262052 344946 353976 393078 394224 402437 449232 459928 524104 689892 707952 786156 804874 919856 1048208 1207311 1379784 1572312 1609748 2414622 2759568 2817059 3144624 3219496 4829244 5634118 6438992 8451177 9658488 11268236 16902354 19316976 22536472 33804708 45072944 67609416 135218832