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137353263320 = 235713371019849
BaseRepresentation
bin111111111101011100…
…1000111100011011000
3111010112101101201120202
41333322321013203120
54222244413411240
6143033233041332
712631512321560
oct1777271074330
9433471351522
10137353263320
1153284377759
12227533b6248
13cc4c437110
14690dd01da0
15388d6ad315
hex1ffae478d8

137353263320 has 128 divisors (see below), whose sum is σ = 390643344000. Its totient is φ = 42295136256.

The previous prime is 137353263269. The next prime is 137353263329. The reversal of 137353263320 is 23362353731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137353263329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375245 + ... + 644604.

It is an arithmetic number, because the mean of its divisors is an integer number (3051901125).

Almost surely, 2137353263320 is an apocalyptic number.

137353263320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137353263320 is an abundant number, since it is smaller than the sum of its proper divisors (253290080680).

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

137353263320 is a wasteful number, since it uses less digits than its factorization.

137353263320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019917 (or 1019913 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 38.

The spelling of 137353263320 in words is "one hundred thirty-seven billion, three hundred fifty-three million, two hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 37 40 52 56 65 70 74 91 104 130 140 148 182 185 259 260 280 296 364 370 455 481 518 520 728 740 910 962 1036 1295 1480 1820 1924 2072 2405 2590 3367 3640 3848 4810 5180 6734 9620 10360 13468 16835 19240 26936 33670 67340 134680 1019849 2039698 4079396 5099245 7138943 8158792 10198490 13258037 14277886 20396980 26516074 28555772 35694715 37734413 40793960 53032148 57111544 66290185 71389430 75468826 92806259 106064296 132580370 142778860 150937652 185612518 188672065 264140891 265160740 285557720 301875304 371225036 377344130 464031295 490547369 528281782 530321480 742450072 754688260 928062590 981094738 1056563564 1320704455 1509376520 1856125180 1962189476 2113127128 2452736845 2641408910 3433831583 3712250360 3924378952 4905473690 5282817820 6867663166 9810947380 10565635640 13735326332 17169157915 19621894760 27470652664 34338315830 68676631660 137353263320