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132145731634672 = 24719477611736197
BaseRepresentation
bin11110000010111110010011…
…011001001000010111110000
3122022220000020020122020010201
4132002332103121020113300
5114310033424244302142
61145014524441404544
736556133263522150
oct3602762331102760
9568800206566121
10132145731634672
1139118765526108
12129a288a199754
13589739aca4542
14248bc5d58c760
15104263156eab7
hex782f936485f0

132145731634672 has 160 divisors (see below), whose sum is σ = 314975763118080. Its totient is φ = 52442564106240.

The previous prime is 132145731634669. The next prime is 132145731634739. The reversal of 132145731634672 is 276436137541231.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 75244078 + ... + 76980274.

It is an arithmetic number, because the mean of its divisors is an integer number (1968598519488).

Almost surely, 2132145731634672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132145731634672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157487881559040).

132145731634672 is an abundant number, since it is smaller than the sum of its proper divisors (182830031483408).

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

132145731634672 is a wasteful number, since it uses less digits than its factorization.

132145731634672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737039 (or 1737033 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 55.

The spelling of 132145731634672 in words is "one hundred thirty-two trillion, one hundred forty-five billion, seven hundred thirty-one million, six hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 47 56 76 94 112 133 152 188 266 304 329 376 532 658 752 761 893 1064 1316 1522 1786 2128 2632 3044 3572 5264 5327 6088 6251 7144 10654 12176 12502 14288 14459 21308 25004 28918 35767 42616 50008 57836 71534 85232 100016 101213 115672 143068 202426 231344 250369 286136 404852 500738 572272 679573 809704 1001476 1359146 1619408 1736197 2002952 2718292 3472394 4005904 4757011 5436584 6944788 9514022 10873168 12153379 13889576 19028044 24306758 27779152 32987743 38056088 48613516 65975486 76112176 81601259 97227032 131950972 163202518 194454064 230914201 263901944 326405036 461828402 527803888 571208813 652810072 923656804 1142417626 1305620144 1321245917 1550423921 1847313608 2284835252 2642491834 3100847842 3694627216 4569670504 5284983668 6201695684 9139341008 9248721419 10569967336 10852967447 12403391368 18497442838 21139934672 21705934894 24806782736 25103672423 36994885676 43411869788 50207344846 62098558099 73989771352 86823739576 100414689692 124197116198 147979542704 173647479152 175725706961 200829379384 248394232396 351451413922 401658758768 434689906693 496788464792 702902827844 869379813386 993576929584 1179872603881 1405805655688 1738759626772 2359745207762 2811611311376 3477519253544 4719490415524 6955038507088 8259108227167 9438980831048 16518216454334 18877961662096 33036432908668 66072865817336 132145731634672