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132154027156240 = 2455947958452473
BaseRepresentation
bin11110000011000110000001…
…110110000010001100010000
3122022220210122101010101102021
4132003012001312002030100
5114310202421422444430
61145022415535301224
736556545663350215
oct3603060166021420
9568823571111367
10132154027156240
1139121232099261
12129a440437a814
1358980c0807b9b
14248c4091c1b0c
15104296999207a
hex783181d82310

132154027156240 has 80 divisors (see below), whose sum is σ = 313118212723200. Its totient is φ = 51857162679296.

The previous prime is 132154027156231. The next prime is 132154027156279. The reversal of 132154027156240 is 42651720451231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1321540271562403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26965357 + ... + 31487116.

It is an arithmetic number, because the mean of its divisors is an integer number (3913977659040).

Almost surely, 2132154027156240 is an apocalyptic number.

132154027156240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132154027156240 is an abundant number, since it is smaller than the sum of its proper divisors (180964185566960).

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

132154027156240 is a wasteful number, since it uses less digits than its factorization.

132154027156240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58453024 (or 58453018 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 132154027156240 in words is "one hundred thirty-two trillion, one hundred fifty-four billion, twenty-seven million, one hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 479 590 944 958 1180 1916 2360 2395 3832 4720 4790 7664 9580 19160 28261 38320 56522 113044 141305 226088 282610 452176 565220 1130440 2260880 58452473 116904946 233809892 292262365 467619784 584524730 935239568 1169049460 2338098920 3448695907 4676197840 6897391814 13794783628 17243479535 27589567256 27998734567 34486959070 55179134512 55997469134 68973918140 111994938268 137947836280 139993672835 223989876536 275895672560 279987345670 447979753072 559974691340 1119949382680 1651925339453 2239898765360 3303850678906 6607701357812 8259626697265 13215402715624 16519253394530 26430805431248 33038506789060 66077013578120 132154027156240