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133137886860 = 2232511151445307
BaseRepresentation
bin111101111111110100…
…0101110111010001100
3110201122121102102011200
41323333220232322030
54140131244334420
6141055050545500
712422165236356
oct1737750567214
9421577372150
10133137886860
1151510958a60
1221977738290
13c72a006614
1466301260d6
1536e3592b90
hex1effa2ee8c

133137886860 has 144 divisors (see below), whose sum is σ = 443484018432. Its totient is φ = 32062032000.

The previous prime is 133137886807. The next prime is 133137886867. The reversal of 133137886860 is 68688731331.

133137886860 is a `hidden beast` number, since 133 + 1 + 378 + 86 + 8 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133137886797 and 133137886806.

It is not an unprimeable number, because it can be changed into a prime (133137886867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76327 + ... + 521633.

It is an arithmetic number, because the mean of its divisors is an integer number (3079750128).

Almost surely, 2133137886860 is an apocalyptic number.

133137886860 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 133137886860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221742009216).

133137886860 is an abundant number, since it is smaller than the sum of its proper divisors (310346131572).

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

133137886860 is a wasteful number, since it uses less digits than its factorization.

133137886860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445484 (or 445479 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 133137886860 in words is "one hundred thirty-three billion, one hundred thirty-seven million, eight hundred eighty-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 198 220 302 330 396 453 495 604 660 755 906 990 1359 1510 1661 1812 1980 2265 2718 3020 3322 4530 4983 5436 6644 6795 8305 9060 9966 13590 14949 16610 19932 24915 27180 29898 33220 49830 59796 74745 99660 149490 298980 445307 890614 1335921 1781228 2226535 2671842 4007763 4453070 4898377 5343684 6679605 8015526 8906140 9796754 13359210 14695131 16031052 19593508 20038815 24491885 26718420 29390262 40077630 44085393 48983770 58780524 67241357 73475655 80155260 88170786 97967540 134482714 146951310 176341572 201724071 220426965 268965428 293902620 336206785 403448142 440853930 605172213 672413570 739654927 806896284 881707860 1008620355 1210344426 1344827140 1479309854 2017240710 2218964781 2420688852 2958619708 3025861065 3698274635 4034481420 4437929562 6051722130 6656894343 7396549270 8875859124 11094823905 12103444260 13313788686 14793098540 22189647810 26627577372 33284471715 44379295620 66568943430 133137886860