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1134555136 = 21211132149
BaseRepresentation
bin100001110011111…
…1111000000000000
32221001212101001121
41003213333000000
54310421231021
6304325242024
740054362631
oct10347770000
92831771047
101134555136
11532477080
12277b63314
1315108c100
14aa975888
156990e741
hex439ff000

1134555136 has 156 divisors (see below), whose sum is σ = 2698115400. Its totient is φ = 472842240.

The previous prime is 1134555091. The next prime is 1134555251. The reversal of 1134555136 is 6315554311.

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 11 ways as a sum of consecutive naturals, for example, 7614390 + ... + 7614538.

Almost surely, 21134555136 is an apocalyptic number.

1134555136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134555136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349057700).

1134555136 is an abundant number, since it is smaller than the sum of its proper divisors (1563560264).

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

1134555136 is a wasteful number, since it uses less digits than its factorization.

1134555136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 175 counting only the distinct ones).

The product of its digits is 27000, while the sum is 34.

The square root of 1134555136 is about 33683.1580467153. The cubic root of 1134555136 is about 1042.9781303911.

The spelling of 1134555136 in words is "one billion, one hundred thirty-four million, five hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 149 169 176 208 256 286 298 338 352 416 512 572 596 676 704 832 1024 1144 1192 1352 1408 1639 1664 1859 1937 2048 2288 2384 2704 2816 3278 3328 3718 3874 4096 4576 4768 5408 5632 6556 6656 7436 7748 9152 9536 10816 11264 13112 13312 14872 15496 18304 19072 21307 21632 22528 25181 26224 26624 29744 30992 36608 38144 42614 43264 45056 50362 52448 53248 59488 61984 73216 76288 85228 86528 100724 104896 118976 123968 146432 152576 170456 173056 201448 209792 237952 247936 276991 292864 305152 340912 346112 402896 419584 475904 495872 553982 585728 610304 681824 692224 805792 839168 951808 991744 1107964 1363648 1611584 1678336 1903616 1983488 2215928 2727296 3223168 3356672 3807232 3966976 4431856 5454592 6446336 6713344 7614464 7933952 8863712 10909184 12892672 17727424 21818368 25785344 35454848 43636736 51570688 70909696 87273472 103141376 141819392 283638784 567277568 1134555136