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135542232 = 233272103373
BaseRepresentation
bin10000001010000…
…11010111011000
3100110001020222200
420011003113120
5234144322412
621241050200
73234042600
oct1005032730
9313036880
10135542232
116a567981
1239486960
1322109307
1414003c00
15bd759dc
hex81435d8

135542232 has 144 divisors (see below), whose sum is σ = 432329040. Its totient is φ = 38247552.

The previous prime is 135542227. The next prime is 135542233. The reversal of 135542232 is 232245531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135542196 and 135542205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135542233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363198 + ... + 363570.

It is an arithmetic number, because the mean of its divisors is an integer number (3002285).

Almost surely, 2135542232 is an apocalyptic number.

135542232 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 135542232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216164520).

135542232 is an abundant number, since it is smaller than the sum of its proper divisors (296786808).

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

135542232 is a wasteful number, since it uses less digits than its factorization.

135542232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 488 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 135542232 is about 11642.2606052261. The cubic root of 135542232 is about 513.6786840465.

Adding to 135542232 its reverse (232245531), we get a palindrome (367787763).

The spelling of 135542232 in words is "one hundred thirty-five million, five hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 103 126 147 168 196 206 252 294 309 373 392 412 441 504 588 618 721 746 824 882 927 1119 1176 1236 1442 1492 1764 1854 2163 2238 2472 2611 2884 2984 3357 3528 3708 4326 4476 5047 5222 5768 6489 6714 7416 7833 8652 8952 10094 10444 12978 13428 15141 15666 17304 18277 20188 20888 23499 25956 26856 30282 31332 36554 38419 40376 45423 46998 51912 54831 60564 62664 73108 76838 90846 93996 109662 115257 121128 146216 153676 164493 181692 187992 219324 230514 268933 307352 328986 345771 363384 438648 461028 537866 657972 691542 806799 922056 1075732 1315944 1383084 1613598 1882531 2151464 2420397 2766168 3227196 3765062 4840794 5647593 6454392 7530124 9681588 11295186 15060248 16942779 19363176 22590372 33885558 45180744 67771116 135542232