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132130142000 = 2453194380863
BaseRepresentation
bin111101100001110010…
…0011111011100110000
3110122001101011200002222
41323003210133130300
54131100304021000
6140411051300212
712355210450613
oct1730344373460
9418041150088
10132130142000
115104402536a
122173614a668
13c5c92b719c
14657636017a
153684d81a85
hex1ec391f730

132130142000 has 160 divisors (see below), whose sum is σ = 344131307520. Its totient is φ = 48905337600.

The previous prime is 132130141973. The next prime is 132130142029. The reversal of 132130142000 is 241031231.

It is a self number, because there is not a number n which added to its sum of digits gives 132130142000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1593569 + ... + 1674431.

It is an arithmetic number, because the mean of its divisors is an integer number (2150820672).

Almost surely, 2132130142000 is an apocalyptic number.

132130142000 is a gapful number since it is divisible by the number (10) 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 132130142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172065653760).

132130142000 is an abundant number, since it is smaller than the sum of its proper divisors (212001165520).

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

132130142000 is a wasteful number, since it uses less digits than its factorization.

132130142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80948 (or 80932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 132130142000 its reverse (241031231), we get a palindrome (132371173231).

The spelling of 132130142000 in words is "one hundred thirty-two billion, one hundred thirty million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 43 50 76 80 86 95 100 125 152 172 190 200 215 250 304 344 380 400 430 475 500 688 760 817 860 950 1000 1075 1520 1634 1720 1900 2000 2150 2375 3268 3440 3800 4085 4300 4750 5375 6536 7600 8170 8600 9500 10750 13072 16340 17200 19000 20425 21500 32680 38000 40850 43000 65360 80863 81700 86000 102125 161726 163400 204250 323452 326800 404315 408500 646904 808630 817000 1293808 1536397 1617260 1634000 2021575 3072794 3234520 3477109 4043150 6145588 6469040 6954218 7681985 8086300 10107875 12291176 13908436 15363970 16172600 17385545 20215750 24582352 27816872 30727940 32345200 34771090 38409925 40431500 55633744 61455880 66065071 69542180 76819850 80863000 86927725 122911760 132130142 139084360 153639700 161726000 173855450 192049625 264260284 278168720 307279400 330325355 347710900 384099250 434638625 528520568 614558800 660650710 695421800 768198500 869277250 1057041136 1321301420 1390843600 1536397000 1651626775 1738554500 2642602840 3072794000 3303253550 3477109000 5285205680 6606507100 6954218000 8258133875 13213014200 16516267750 26426028400 33032535500 66065071000 132130142000