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134432532 = 2232131761277
BaseRepresentation
bin10000000001101…
…00011100010100
3100100221212202200
420000310130110
5233403320112
621201204500
73221441403
oct1000643424
9310855680
10134432532
116997a173
1239030730
1321b0b1a0
1413bd563a
15bc06cdc
hex8034714

134432532 has 144 divisors (see below), whose sum is σ = 395255952. Its totient is φ = 38154240.

The previous prime is 134432521. The next prime is 134432569. The reversal of 134432532 is 235234431.

It can be written as a sum of positive squares in 8 ways, for example, as 34152336 + 100280196 = 5844^2 + 10014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 134432496 and 134432505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485178 + ... + 485454.

It is an arithmetic number, because the mean of its divisors is an integer number (2744833).

Almost surely, 2134432532 is an apocalyptic number.

134432532 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 134432532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197627976).

134432532 is an abundant number, since it is smaller than the sum of its proper divisors (260823420).

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

134432532 is a wasteful number, since it uses less digits than its factorization.

134432532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 373 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 134432532 is about 11594.5043878555. The cubic root of 134432532 is about 512.2729918289.

Adding to 134432532 its reverse (235234431), we get a palindrome (369666963).

The spelling of 134432532 in words is "one hundred thirty-four million, four hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 61 68 78 102 117 122 153 156 183 204 221 234 244 277 306 366 442 468 549 554 612 663 732 793 831 884 1037 1098 1108 1326 1586 1662 1989 2074 2196 2379 2493 2652 3111 3172 3324 3601 3978 4148 4709 4758 4986 6222 7137 7202 7956 9333 9418 9516 9972 10803 12444 13481 14127 14274 14404 16897 18666 18836 21606 26962 28254 28548 32409 33794 37332 40443 42381 43212 50691 53924 56508 61217 64818 67588 80886 84762 101382 121329 122434 129636 152073 161772 169524 183651 202764 219661 242658 244868 287249 304146 367302 439322 485316 550953 574498 608292 658983 734604 861747 878644 1101906 1148996 1317966 1723494 1976949 2203812 2585241 2635932 3446988 3734237 3953898 5170482 7468474 7907796 10340964 11202711 14936948 22405422 33608133 44810844 67216266 134432532