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135454341224340 = 22325877991865859
BaseRepresentation
bin11110110011000111101011…
…111001000101011110010100
3122202121022022221022000001100
4132303013223321011132110
5120223240442323134330
61200030510523430100
740350152564151255
oct3663075371053624
9582538287260040
10135454341224340
113a183955374246
1213237b60985330
135a7739c24b8a8
14256404cc12b2c
15109d729232060
hex7b31ebe45794

135454341224340 has 144 divisors (see below), whose sum is σ = 411762230530560. Its totient is φ = 36043521212160.

The previous prime is 135454341224339. The next prime is 135454341224381. The reversal of 135454341224340 is 43422143454531.

It is a happy number.

135454341224340 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 5 + 43 + 41 + 224 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156006331 + ... + 156872189.

It is an arithmetic number, because the mean of its divisors is an integer number (2859459934240).

Almost surely, 2135454341224340 is an apocalyptic number.

135454341224340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135454341224340 is an abundant number, since it is smaller than the sum of its proper divisors (276307889306220).

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

135454341224340 is a wasteful number, since it uses less digits than its factorization.

135454341224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867742 (or 867737 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 135454341224340 its reverse (43422143454531), we get a palindrome (178876484678871).

The spelling of 135454341224340 in words is "one hundred thirty-five trillion, four hundred fifty-four billion, three hundred forty-one million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 877 991 1754 1982 2631 2973 3508 3964 4385 4955 5262 5946 7893 8770 8919 9910 10524 11892 13155 14865 15786 17540 17838 19820 26310 29730 31572 35676 39465 44595 52620 59460 78930 89190 157860 178380 865859 869107 1731718 1738214 2597577 2607321 3463436 3476428 4329295 4345535 5195154 5214642 7792731 7821963 8658590 8691070 10390308 10429284 12987885 13036605 15585462 15643926 17317180 17382140 25975770 26073210 31170924 31287852 38963655 39109815 51951540 52146420 77927310 78219630 155854620 156439260 759358343 858066269 1518716686 1716132538 2278075029 2574198807 3037433372 3432265076 3796791715 4290331345 4556150058 5148397614 6834225087 7593583430 7722596421 8580662690 9112300116 10296795228 11390375145 12870994035 13668450174 15187166860 15445192842 17161325380 22780750290 25741988070 27336900348 30890385684 34171125435 38612982105 45561500580 51483976140 68342250870 77225964210 136684501740 154451928420 752524117913 1505048235826 2257572353739 3010096471652 3762620589565 4515144707478 6772717061217 7525241179130 9030289414956 11287861768695 13545434122434 15050482358260 22575723537390 27090868244868 33863585306085 45151447074780 67727170612170 135454341224340