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135827888 = 2473773449
BaseRepresentation
bin10000001100010…
…01000110110000
3100110120202211112
420012021012300
5234232443023
621251132452
73236342450
oct1006110660
9313522745
10135827888
116a742559
12395a4128
13221a9341
1414079d60
15bdd0478
hex81891b0

135827888 has 80 divisors (see below), whose sum is σ = 313819200. Its totient is φ = 55738368.

The previous prime is 135827869. The next prime is 135827911. The reversal of 135827888 is 888728531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302288 + ... + 302736.

It is an arithmetic number, because the mean of its divisors is an integer number (3922740).

Almost surely, 2135827888 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 135827888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156909600).

135827888 is an abundant number, since it is smaller than the sum of its proper divisors (177991312).

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

135827888 is a wasteful number, since it uses less digits than its factorization.

135827888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 860160, while the sum is 50.

The square root of 135827888 is about 11654.5222124290. The cubic root of 135827888 is about 514.0392910559.

The spelling of 135827888 in words is "one hundred thirty-five million, eight hundred twenty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 73 74 112 146 148 259 292 296 449 511 518 584 592 898 1022 1036 1168 1796 2044 2072 2701 3143 3592 4088 4144 5402 6286 7184 8176 10804 12572 16613 18907 21608 25144 32777 33226 37814 43216 50288 65554 66452 75628 116291 131108 132904 151256 229439 232582 262216 265808 302512 458878 465164 524432 917756 930328 1212749 1835512 1860656 2425498 3671024 4850996 8489243 9701992 16978486 19403984 33956972 67913944 135827888