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134455464 = 233411131451
BaseRepresentation
bin10000000001110…
…10000010101000
3100101000001020000
420000322002220
5233410033324
621201503000
73221565303
oct1000720250
9311001200
10134455464
1169995420
1239041a60
1321b18760
1413bddb3a
15bc0d9c9
hex803a0a8

134455464 has 160 divisors (see below), whose sum is σ = 442743840. Its totient is φ = 37584000.

The previous prime is 134455459. The next prime is 134455487. The reversal of 134455464 is 464554431.

134455464 is a `hidden beast` number, since 1 + 3 + 44 + 554 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91939 + ... + 93389.

It is an arithmetic number, because the mean of its divisors is an integer number (2767149).

Almost surely, 2134455464 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 134455464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221371920).

134455464 is an abundant number, since it is smaller than the sum of its proper divisors (308288376).

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

134455464 is a wasteful number, since it uses less digits than its factorization.

134455464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1480 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 134455464 is about 11595.4932624706. The cubic root of 134455464 is about 512.3021186485.

The spelling of 134455464 in words is "one hundred thirty-four million, four hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1451 1716 1782 2106 2376 2574 2808 2902 3432 3564 3861 4212 4353 5148 5804 7128 7722 8424 8706 10296 11583 11608 13059 15444 15961 17412 18863 23166 26118 30888 31922 34824 37726 39177 46332 47883 52236 56589 63844 75452 78354 92664 95766 104472 113178 117531 127688 143649 150904 156708 169767 191532 207493 226356 235062 287298 313416 339534 383064 414986 430947 452712 470124 509301 574596 622479 679068 829972 861894 940248 1018602 1149192 1244958 1292841 1358136 1527903 1659944 1723788 1867437 2037204 2489916 2585682 3055806 3447576 3734874 4074408 4979832 5171364 5602311 6111612 7469748 10342728 11204622 12223224 14939496 16806933 22409244 33613866 44818488 67227732 134455464