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135031848 = 23372199577
BaseRepresentation
bin10000000110001…
…10110000101000
3100102002022212120
420003012300220
5234032004343
621222111240
73226515600
oct1003066050
9312068776
10135031848
116a249476
123927b520
1321c8ac03
1413d0dc00
15bcc4683
hex80c6c28

135031848 has 96 divisors (see below), whose sum is σ = 395352000. Its totient is φ = 38320128.

The previous prime is 135031829. The next prime is 135031889. The reversal of 135031848 is 848130531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233736 + ... + 234312.

It is an arithmetic number, because the mean of its divisors is an integer number (4118250).

Almost surely, 2135031848 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 135031848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197676000).

135031848 is an abundant number, since it is smaller than the sum of its proper divisors (260320152).

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

135031848 is a wasteful number, since it uses less digits than its factorization.

135031848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 788 counting only the distinct ones).

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

The square root of 135031848 is about 11620.3204775084. The cubic root of 135031848 is about 513.0331210637.

It can be divided in two parts, 13503 and 1848, that added together give a palindrome (15351).

The spelling of 135031848 in words is "one hundred thirty-five million, thirty-one thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 199 294 392 398 577 588 597 796 1154 1176 1194 1393 1592 1731 2308 2388 2786 3462 4039 4179 4616 4776 5572 6924 8078 8358 9751 11144 12117 13848 16156 16716 19502 24234 28273 29253 32312 33432 39004 48468 56546 58506 78008 84819 96936 113092 114823 117012 169638 226184 229646 234024 339276 344469 459292 678552 688938 803761 918584 1377876 1607522 2411283 2755752 3215044 4822566 5626327 6430088 9645132 11252654 16878981 19290264 22505308 33757962 45010616 67515924 135031848