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132771151160 = 235314110724407
BaseRepresentation
bin111101110100111000…
…1101111110100111000
3110200201001100022100222
41323221301233310320
54133403403314120
6140554430315212
712410123110154
oct1735161576470
9420631308328
10132771151160
1151342942aaa
1221894958b08
13c69c040a4b
1465d7540064
1536c12a0525
hex1ee9c6fd38

132771151160 has 128 divisors (see below), whose sum is σ = 318858301440. Its totient is φ = 49671091200.

The previous prime is 132771151159. The next prime is 132771151169. The reversal of 132771151160 is 61151177231.

It is a self number, because there is not a number n which added to its sum of digits gives 132771151160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132771151169) by changing a digit.

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, 5427677 + ... + 5452083.

It is an arithmetic number, because the mean of its divisors is an integer number (2491080480).

Almost surely, 2132771151160 is an apocalyptic number.

132771151160 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 132771151160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159429150720).

132771151160 is an abundant number, since it is smaller than the sum of its proper divisors (186087150280).

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

132771151160 is a wasteful number, since it uses less digits than its factorization.

132771151160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24597 (or 24593 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 35.

The spelling of 132771151160 in words is "one hundred thirty-two billion, seven hundred seventy-one million, one hundred fifty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 107 124 155 164 205 214 248 310 328 410 428 535 620 820 856 1070 1240 1271 1640 2140 2542 3317 4280 4387 5084 6355 6634 8774 10168 12710 13268 16585 17548 21935 24407 25420 26536 33170 35096 43870 48814 50840 66340 87740 97628 122035 132680 135997 175480 195256 244070 271994 488140 543988 679985 756617 976280 1000687 1087976 1359970 1513234 2001374 2611549 2719940 3026468 3783085 4002748 5003435 5223098 5439880 6052936 7566170 8005496 10006870 10446196 13057745 15132340 20013740 20892392 26115490 30264680 31021297 40027480 52230980 62042594 80958019 104461960 107073509 124085188 155106485 161916038 214147018 248170376 310212970 323832076 404790095 428294036 535367545 620425940 647664152 809580190 856588072 1070735090 1240851880 1619160380 2141470180 3238320760 3319278779 4282940360 6638557558 13277115116 16596393895 26554230232 33192787790 66385575580 132771151160