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132025303025145 = 32547732164939499
BaseRepresentation
bin11110000001001110001001…
…010010011100010111111001
3122022110111101100221222220100
4132001032021102130113321
5114301100310033301040
61144443330434350013
736544341041320245
oct3601161122342771
9568414340858810
10132025303025145
1139081686735342
121298347aa2b309
135888c1806c78a
1424860b7355425
15103e433b53b30
hex78138949c5f9

132025303025145 has 96 divisors (see below), whose sum is σ = 236931364800000. Its totient is φ = 67966429335552.

The previous prime is 132025303025129. The next prime is 132025303025159. The reversal of 132025303025145 is 541520303520231.

132025303025145 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 530 + 30 + 2 + 51 + 45 = 666.

It is not a de Polignac number, because 132025303025145 - 24 = 132025303025129 is a prime.

It is a super-2 number, since 2×1320253030251452 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3342477606 + ... + 3342517104.

It is an arithmetic number, because the mean of its divisors is an integer number (2468035050000).

Almost surely, 2132025303025145 is an apocalyptic number.

132025303025145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132025303025145 is a deficient number, since it is larger than the sum of its proper divisors (104906061774855).

132025303025145 is a wasteful number, since it uses less digits than its factorization.

132025303025145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61279 (or 61276 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 132025303025145 its reverse (541520303520231), we get a palindrome (673545606545376).

The spelling of 132025303025145 in words is "one hundred thirty-two trillion, twenty-five billion, three hundred three million, twenty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 47 73 141 219 235 365 423 657 705 1095 2115 3285 3431 10293 17155 21649 30879 39499 51465 64947 108245 118497 154395 194841 197495 324735 355491 592485 974205 1017503 1580377 1777455 1856453 2883427 3052509 4741131 5087515 5569359 7901885 8650281 9157527 9282265 14223393 14417135 15262545 16708077 23705655 25950843 27846795 43251405 45787635 71116965 74277719 83540385 129754215 135521069 222833157 371388595 406563207 668499471 677605345 855113851 1114165785 1219689621 2032816035 2565341553 3342497355 4275569255 6098448105 7696024659 12826707765 38480123295 40190350997 62423311123 120571052991 187269933369 200951754985 312116555615 361713158973 561809800107 602855264955 936349666845 1808565794865 2809049000535 2933895622781 8801686868343 14669478113905 26405060605029 44008434341715 132025303025145