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132749947536 = 243197312791559
BaseRepresentation
bin111101110100010000…
…0110111001010010000
3110200122120110001110120
41323220200313022100
54133332441310121
6140552352030240
712406444636053
oct1735040671220
9420576401416
10132749947536
1151331980448
1221889832380
13c69782881b
1465d47c0a9a
1536be4b2bc6
hex1ee8837290

132749947536 has 160 divisors (see below), whose sum is σ = 366452736000. Its totient is φ = 41287947264.

The previous prime is 132749947511. The next prime is 132749947553. The reversal of 132749947536 is 635749947231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132749947536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85149925 + ... + 85151483.

It is an arithmetic number, because the mean of its divisors is an integer number (2290329600).

Almost surely, 2132749947536 is an apocalyptic number.

132749947536 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 132749947536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183226368000).

132749947536 is an abundant number, since it is smaller than the sum of its proper divisors (233702788464).

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

132749947536 is a wasteful number, since it uses less digits than its factorization.

132749947536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2935 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 60.

The spelling of 132749947536 in words is "one hundred thirty-two billion, seven hundred forty-nine million, nine hundred forty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 114 146 152 219 228 292 304 438 456 584 876 912 1168 1279 1387 1559 1752 2558 2774 3118 3504 3837 4161 4677 5116 5548 6236 7674 8322 9354 10232 11096 12472 15348 16644 18708 20464 22192 24301 24944 29621 30696 33288 37416 48602 59242 61392 66576 72903 74832 88863 93367 97204 113807 118484 145806 177726 186734 194408 227614 236968 280101 291612 341421 355452 373468 388816 455228 473936 560202 583224 682842 710904 746936 910456 1120404 1166448 1365684 1421808 1493872 1773973 1820912 1993961 2162333 2240808 2731368 3547946 3987922 4324666 4481616 5321919 5462736 5981883 6486999 7095892 7975844 8649332 10643838 11963766 12973998 14191784 15951688 17298664 21287676 23927532 25947996 28383568 31903376 34597328 37885259 42575352 47855064 51895992 75770518 85150704 95710128 103791984 113655777 145559153 151541036 227311554 291118306 303082072 436677459 454623108 582236612 606164144 873354918 909246216 1164473224 1746709836 1818492432 2328946448 2765623907 3493419672 5531247814 6986839344 8296871721 11062495628 16593743442 22124991256 33187486884 44249982512 66374973768 132749947536