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133345153240 = 235131947287159
BaseRepresentation
bin111110000101111111…
…1011001000011011000
3110202012001102122012021
41330023333121003120
54141042324400430
6141131413224224
712430263046465
oct1741377310330
9422161378167
10133345153240
1151607954292
1221a15032074
13c760c36150
14664d87a66c
15370688507a
hex1f0bfd90d8

133345153240 has 128 divisors (see below), whose sum is σ = 347348736000. Its totient is φ = 45651230208.

The previous prime is 133345153219. The next prime is 133345153273. The reversal of 133345153240 is 42351543331.

133345153240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133345153196 and 133345153205.

It is a congruent number.

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, 320781 + ... + 607939.

It is an arithmetic number, because the mean of its divisors is an integer number (2713662000).

Almost surely, 2133345153240 is an apocalyptic number.

133345153240 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 133345153240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173674368000).

133345153240 is an abundant number, since it is smaller than the sum of its proper divisors (214003582760).

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

133345153240 is a wasteful number, since it uses less digits than its factorization.

133345153240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287249 (or 287245 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 133345153240 its reverse (42351543331), we get a palindrome (175696696571).

The spelling of 133345153240 in words is "one hundred thirty-three billion, three hundred forty-five million, one hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 47 52 65 76 94 95 104 130 152 188 190 235 247 260 376 380 470 494 520 611 760 893 940 988 1222 1235 1786 1880 1976 2444 2470 3055 3572 4465 4888 4940 6110 7144 8930 9880 11609 12220 17860 23218 24440 35720 46436 58045 92872 116090 232180 287159 464360 574318 1148636 1435795 2297272 2871590 3733067 5456021 5743180 7466134 10912042 11486360 13496473 14932268 18665335 21824084 26992946 27280105 29864536 37330670 43648168 53985892 54560210 67482365 70928273 74661340 107971784 109120420 134964730 141856546 149322680 175454149 218240840 256432987 269929460 283713092 350908298 354641365 512865974 539858920 567426184 701816596 709282730 877270745 1025731948 1282164935 1403633192 1418565460 1754541490 2051463896 2564329870 2837130920 3333628831 3509082980 5128659740 6667257662 7018165960 10257319480 13334515324 16668144155 26669030648 33336288310 66672576620 133345153240