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134963712 = 293313751
BaseRepresentation
bin10000000101101…
…10001000000000
3100101221212102000
420002312020000
5234022314322
621220424000
73226113132
oct1002661000
9311855360
10134963712
116a202264
1239248000
1321c65bb0
1413cd3052
15bcae3ac
hex80b6200

134963712 has 160 divisors (see below), whose sum is σ = 430805760. Its totient is φ = 41472000.

The previous prime is 134963693. The next prime is 134963729. The reversal of 134963712 is 217369431.

134963712 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 637 + 12 = 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179337 + ... + 180087.

It is an arithmetic number, because the mean of its divisors is an integer number (2692536).

Almost surely, 2134963712 is an apocalyptic number.

134963712 is a gapful number since it is divisible by the number (12) 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 134963712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215402880).

134963712 is an abundant number, since it is smaller than the sum of its proper divisors (295842048).

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

134963712 is an equidigital number, since it uses as much as digits as its factorization.

134963712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 769 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 134963712 is about 11617.3883467843. The cubic root of 134963712 is about 512.9468157306.

The spelling of 134963712 in words is "one hundred thirty-four million, nine hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 751 768 832 864 936 1152 1248 1404 1502 1536 1664 1728 1872 2253 2304 2496 2808 3004 3328 3456 3744 4506 4608 4992 5616 6008 6656 6759 6912 7488 9012 9763 9984 11232 12016 13518 13824 14976 18024 19526 19968 20277 22464 24032 27036 29289 29952 36048 39052 40554 44928 48064 54072 58578 59904 72096 78104 81108 87867 89856 96128 108144 117156 144192 156208 162216 175734 179712 192256 216288 234312 263601 288384 312416 324432 351468 384512 432576 468624 527202 576768 624832 648864 702936 865152 937248 1054404 1153536 1249664 1297728 1405872 1730304 1874496 2108808 2499328 2595456 2811744 3460608 3748992 4217616 4998656 5190912 5623488 7497984 8435232 10381824 11246976 14995968 16870464 22493952 33740928 44987904 67481856 134963712