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135770466 = 231317219317
BaseRepresentation
bin10000001011110…
…11000101100010
3100110110212001210
420011323011202
5234224123331
621250010550
73236013156
oct1005730542
9313425053
10135770466
116a7033a7
1239576a56
1322189170
1414063066
15bdbd446
hex817b162

135770466 has 96 divisors (see below), whose sum is σ = 328023360. Its totient is φ = 37131264.

The previous prime is 135770441. The next prime is 135770473. The reversal of 135770466 is 664077531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428140 + ... + 428456.

It is an arithmetic number, because the mean of its divisors is an integer number (3416910).

Almost surely, 2135770466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135770466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164011680).

135770466 is an abundant number, since it is smaller than the sum of its proper divisors (192252894).

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

135770466 is a wasteful number, since it uses less digits than its factorization.

135770466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 135770466 is about 11652.0584447556. The cubic root of 135770466 is about 513.9668431831.

The spelling of 135770466 in words is "one hundred thirty-five million, seven hundred seventy thousand, four hundred sixty-six".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 51 57 78 102 114 221 247 289 317 323 442 494 578 634 646 663 741 867 951 969 1326 1482 1734 1902 1938 3757 4121 4199 5389 5491 6023 7514 8242 8398 10778 10982 11271 12046 12363 12597 16167 16473 18069 22542 24726 25194 32334 32946 36138 70057 71383 78299 91613 102391 140114 142766 156598 183226 204782 210171 214149 234897 274839 307173 420342 428298 469794 549678 614346 1190969 1331083 1740647 2381938 2662166 3481294 3572907 3993249 5221941 7145814 7986498 10443882 22628411 45256822 67885233 135770466