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132335607340 = 225414723314737
BaseRepresentation
bin111101100111111010…
…0010001111000101100
3110122120200210101120101
41323033310101320230
54132010403413330
6140443311200444
712363254050126
oct1731764217054
9418520711511
10132335607340
115113a000532
1221792b16124
13c62ca36001
146595766216
153697e1a4ca
hex1ecfd11e2c

132335607340 has 96 divisors (see below), whose sum is σ = 292007649024. Its totient is φ = 50324029440.

The previous prime is 132335607337. The next prime is 132335607361. The reversal of 132335607340 is 43706533231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132335607340.

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, 8972452 + ... + 8987188.

It is an arithmetic number, because the mean of its divisors is an integer number (3041746344).

Almost surely, 2132335607340 is an apocalyptic number.

132335607340 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 132335607340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146003824512).

132335607340 is an abundant number, since it is smaller than the sum of its proper divisors (159672041684).

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

132335607340 is a wasteful number, since it uses less digits than its factorization.

132335607340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15067 (or 15065 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 37.

The spelling of 132335607340 in words is "one hundred thirty-two billion, three hundred thirty-five million, six hundred seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 233 235 410 466 470 820 932 940 1165 1927 2330 3854 4660 7708 9553 9635 10951 14737 19106 19270 21902 29474 38212 38540 43804 47765 54755 58948 73685 95530 109510 147370 191060 219020 294740 448991 604217 692639 897982 1208434 1385278 1795964 2244955 2416868 2770556 3021085 3433721 3463195 4489910 6042170 6867442 6926390 8979820 12084340 13734884 13852780 17168605 28398199 34337210 56796398 68674420 113592796 140782561 141990995 161384887 281565122 283981990 322769774 563130244 567963980 645539548 703912805 806924435 1407825610 1613848870 2815651220 3227697740 6616780367 13233560734 26467121468 33083901835 66167803670 132335607340