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135285552 = 2434472221
BaseRepresentation
bin10000001000001…
…00101100110000
3100102120012220000
420010010230300
5234113114202
621231350000
73231623343
oct1004045460
9312505800
10135285552
116a402046
1239382300
132204952c
1413d7845a
15bd2491c
hex8104b30

135285552 has 100 divisors (see below), whose sum is σ = 400066656. Its totient is φ = 44115840.

The previous prime is 135285533. The next prime is 135285559. The reversal of 135285552 is 255582531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135285559) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59802 + ... + 62022.

Almost surely, 2135285552 is an apocalyptic number.

135285552 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 135285552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200033328).

135285552 is an abundant number, since it is smaller than the sum of its proper divisors (264781104).

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

135285552 is a wasteful number, since it uses less digits than its factorization.

135285552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2273 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 135285552 is about 11631.2317490453. The cubic root of 135285552 is about 513.3542233960.

The spelling of 135285552 in words is "one hundred thirty-five million, two hundred eighty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 282 324 376 423 432 564 648 752 846 1128 1269 1296 1692 2221 2256 2538 3384 3807 4442 5076 6663 6768 7614 8884 10152 13326 15228 17768 19989 20304 26652 30456 35536 39978 53304 59967 60912 79956 104387 106608 119934 159912 179901 208774 239868 313161 319824 359802 417548 479736 626322 719604 835096 939483 959472 1252644 1439208 1670192 1878966 2505288 2818449 2878416 3757932 5010576 5636898 7515864 8455347 11273796 15031728 16910694 22547592 33821388 45095184 67642776 135285552