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135461304 = 2332111710061
BaseRepresentation
bin10000001001011…
…11100110111000
3100102220010222100
420010233212320
5234134230204
621235223400
73233254626
oct1004574670
9312803870
10135461304
116a5120a0
1239447b60
13220ab524
1413dc2516
15bd5ba39
hex812f9b8

135461304 has 96 divisors (see below), whose sum is σ = 423811440. Its totient is φ = 38630400.

The previous prime is 135461281. The next prime is 135461311. The reversal of 135461304 is 403164531.

135461304 is a `hidden beast` number, since 1 + 354 + 6 + 1 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8434 + ... + 18494.

Almost surely, 2135461304 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 135461304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211905720).

135461304 is an abundant number, since it is smaller than the sum of its proper divisors (288350136).

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

135461304 is a wasteful number, since it uses less digits than its factorization.

135461304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135461304 is about 11638.7844726157. The cubic root of 135461304 is about 513.5764299021.

The spelling of 135461304 in words is "one hundred thirty-five million, four hundred sixty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 10061 13464 20122 30183 40244 60366 80488 90549 110671 120732 171037 181098 221342 241464 332013 342074 362196 442684 513111 664026 684148 724392 885368 996039 1026222 1328052 1368296 1539333 1881407 1992078 2052444 2656104 3078666 3762814 3984156 4104888 5644221 6157332 7525628 7968312 11288442 12314664 15051256 16932663 22576884 33865326 45153768 67730652 135461304