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132153650305120 = 25515135315495569
BaseRepresentation
bin11110000011000101101011…
…011000011101100001100000
3122022220202200010000100212101
4132003011223120131201200
5114310201133434230440
61145022314314140144
736556533436231003
oct3603055330354140
9568822603010771
10132153650305120
11391210593a4454
12129a431a121654
135898060710062
14248c3b112553a
15104294685269a
hex78316b61d860

132153650305120 has 96 divisors (see below), whose sum is σ = 315170968351680. Its totient is φ = 52362623385600.

The previous prime is 132153650305003. The next prime is 132153650305147. The reversal of 132153650305120 is 21503056351231.

It is a self number, because there is not a number n which added to its sum of digits gives 132153650305120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780696 + ... + 16276264.

It is an arithmetic number, because the mean of its divisors is an integer number (3283030920330).

Almost surely, 2132153650305120 is an apocalyptic number.

132153650305120 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 132153650305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157585484175840).

132153650305120 is an abundant number, since it is smaller than the sum of its proper divisors (183017318046560).

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

132153650305120 is a wasteful number, since it uses less digits than its factorization.

132153650305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15496088 (or 15496080 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 132153650305120 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, six hundred fifty million, three hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 353 604 706 755 1208 1412 1510 1765 2416 2824 3020 3530 4832 5648 6040 7060 11296 12080 14120 24160 28240 53303 56480 106606 213212 266515 426424 533030 852848 1066060 1705696 2132120 4264240 8528480 15495569 30991138 61982276 77477845 123964552 154955690 247929104 309911380 495858208 619822760 1239645520 2339830919 2479291040 4679661838 5469935857 9359323676 10939871714 11699154595 18718647352 21879743428 23398309190 27349679285 37437294704 43759486856 46796618380 54699358570 74874589408 87518973712 93593236760 109398717140 175037947424 187186473520 218797434280 374372947040 437594868560 825960314407 875189737120 1651920628814 3303841257628 4129801572035 6607682515256 8259603144070 13215365030512 16519206288140 26430730061024 33038412576280 66076825152560 132153650305120