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135092608 = 277317181
BaseRepresentation
bin10000000110101…
…01100110000000
3100102012102012221
420003111212000
5234040430413
621223300424
73230161000
oct1003254600
9312172187
10135092608
116a290092
12392aa714
1321cac771
1413d28000
15bcd768d
hex80d5980

135092608 has 128 divisors (see below), whose sum is σ = 334152000. Its totient is φ = 54190080.

The previous prime is 135092563. The next prime is 135092611. The reversal of 135092608 is 806290531.

135092608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 746278 + ... + 746458.

Almost surely, 2135092608 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 135092608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

135092608 is an abundant number, since it is smaller than the sum of its proper divisors (199059392).

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

135092608 is an equidigital number, since it uses as much as digits as its factorization.

135092608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 135092608 is about 11622.9345692041. The cubic root of 135092608 is about 513.1100590074.

The spelling of 135092608 in words is "one hundred thirty-five million, ninety-two thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 181 196 224 238 272 343 362 392 448 476 544 686 724 784 833 896 952 1088 1267 1372 1448 1568 1666 1904 2176 2534 2744 2896 3077 3136 3332 3808 5068 5488 5792 5831 6154 6272 6664 7616 8869 10136 10976 11584 11662 12308 13328 15232 17738 20272 21539 21952 23168 23324 24616 26656 35476 40544 43078 43904 46648 49232 53312 62083 70952 81088 86156 93296 98464 106624 124166 141904 150773 162176 172312 186592 196928 248332 283808 301546 344624 373184 393856 496664 567616 603092 689248 746368 993328 1055411 1135232 1206184 1378496 1986656 2110822 2412368 2756992 3973312 4221644 4824736 7946624 8443288 9649472 16886576 19298944 33773152 67546304 135092608