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132134401041020 = 225721120047223129
BaseRepresentation
bin11110000010110011110000…
…000010010110001001111100
3122022211220222121010102122222
4132002303300002112021330
5114304342223131303040
61145005412243424512
736555252431206340
oct3602636002261174
9568756877112588
10132134401041020
1139113980718424
12129a0647685138
1358962b3729b61
14248b4a6823620
1510421bb97bbb5
hex782cf009627c

132134401041020 has 96 divisors (see below), whose sum is σ = 318642835015680. Its totient is φ = 45086064791040.

The previous prime is 132134401040989. The next prime is 132134401041043. The reversal of 132134401041020 is 20140104431231.

It is a congruent number.

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, 592076816 + ... + 592299944.

It is an arithmetic number, because the mean of its divisors is an integer number (3319196198080).

Almost surely, 2132134401041020 is an apocalyptic number.

132134401041020 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 132134401041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159321417507840).

132134401041020 is an abundant number, since it is smaller than the sum of its proper divisors (186508433974660).

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

132134401041020 is a wasteful number, since it uses less digits than its factorization.

132134401041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243403 (or 243401 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 132134401041020 its reverse (20140104431231), we get a palindrome (152274505472251).

The spelling of 132134401041020 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, four hundred one million, forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 844 1055 1477 2110 2954 4220 5908 7385 14770 20047 29540 40094 80188 100235 140329 200470 223129 280658 400940 446258 561316 701645 892516 1115645 1403290 1561903 2231290 2806580 3123806 4229917 4462580 6247612 7809515 8459834 15619030 16919668 21149585 29609419 31238060 42299170 47080219 59218838 84598340 94160438 118437676 148047095 188320876 235401095 296094190 329561533 470802190 592188380 659123066 941604380 1318246132 1647807665 3295615330 4473067063 6591230660 8946134126 17892268252 22365335315 31311469441 44730670630 62622938882 89461341260 125245877764 156557347205 313114694410 626229388820 943817150293 1887634300586 3775268601172 4719085751465 6606720052051 9438171502930 13213440104102 18876343005860 26426880208204 33033600260255 66067200520510 132134401041020