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134422533520 = 245117110720107
BaseRepresentation
bin111110100110000110…
…1010001010110010000
3110211222010201020002121
41331030031101112100
54200244132033040
6141430341224024
712466054453042
oct1751415212620
9424863636077
10134422533520
115201001a010
1222075a02014
13c8a31c7182
1467129aba92
15376b24dc4a
hex1f4c351590

134422533520 has 160 divisors (see below), whose sum is σ = 348995091456. Its totient is φ = 47739686400.

The previous prime is 134422533461. The next prime is 134422533521. The reversal of 134422533520 is 25335224431.

134422533520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (134422533521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6675307 + ... + 6695413.

Almost surely, 2134422533520 is an apocalyptic number.

134422533520 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 134422533520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174497545728).

134422533520 is an abundant number, since it is smaller than the sum of its proper divisors (214572557936).

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

134422533520 is a wasteful number, since it uses less digits than its factorization.

134422533520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20309 (or 20303 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 134422533520 its reverse (25335224431), we get a palindrome (159757757951).

The spelling of 134422533520 in words is "one hundred thirty-four billion, four hundred twenty-two million, five hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 107 110 142 176 214 220 284 355 428 440 535 568 710 781 856 880 1070 1136 1177 1420 1562 1712 2140 2354 2840 3124 3905 4280 4708 5680 5885 6248 7597 7810 8560 9416 11770 12496 15194 15620 18832 20107 23540 30388 31240 37985 40214 47080 60776 62480 75970 80428 83567 94160 100535 121552 151940 160856 167134 201070 221177 303880 321712 334268 402140 417835 442354 607760 668536 804280 835670 884708 1105885 1337072 1427597 1608560 1671340 1769416 2151449 2211770 2855194 3342680 3538832 4302898 4423540 5710388 6685360 7137985 8605796 8847080 10757245 11420776 14275970 15703567 17211592 17694160 21514490 22841552 23665939 28551940 31407134 34423184 43028980 47331878 57103880 62814268 78517835 86057960 94663756 114207760 118329695 125628536 152752879 157035670 172115920 189327512 236659390 251257072 305505758 314071340 378655024 473318780 611011516 628142680 763764395 946637560 1222023032 1256285360 1527528790 1680281669 1893275120 2444046064 3055057580 3360563338 6110115160 6721126676 8401408345 12220230320 13442253352 16802816690 26884506704 33605633380 67211266760 134422533520