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133748010 = 23451117883
BaseRepresentation
bin1111111100011…
…01010100101010
3100022200002210000
413332031110222
5233214414020
621134403430
73212560614
oct776152452
9308602700
10133748010
1169551950
1238960576
132192b746
1413a97db4
15bb1e090
hex7f8d52a

133748010 has 160 divisors (see below), whose sum is σ = 415876032. Its totient is φ = 30481920.

The previous prime is 133748003. The next prime is 133748053. The reversal of 133748010 is 10847331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151029 + ... + 151911.

Almost surely, 2133748010 is an apocalyptic number.

133748010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133748010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207938016).

133748010 is an abundant number, since it is smaller than the sum of its proper divisors (282128022).

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

133748010 is a wasteful number, since it uses less digits than its factorization.

133748010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 133748010 is about 11564.9474706978. The cubic root of 133748010 is about 511.4020245605.

The spelling of 133748010 in words is "one hundred thirty-three million, seven hundred forty-eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 81 85 90 99 102 110 135 153 162 165 170 187 198 255 270 297 306 330 374 405 459 495 510 561 594 765 810 883 891 918 935 990 1122 1377 1485 1530 1683 1766 1782 1870 2295 2649 2754 2805 2970 3366 4415 4455 4590 5049 5298 5610 6885 7947 8415 8830 8910 9713 10098 13245 13770 15011 15147 15894 16830 19426 23841 25245 26490 29139 30022 30294 39735 45033 47682 48565 50490 58278 71523 75055 75735 79470 87417 90066 97130 119205 135099 143046 145695 150110 151470 165121 174834 225165 238410 262251 270198 291390 330242 357615 405297 437085 450330 495363 524502 675495 715230 786753 810594 825605 874170 990726 1215891 1311255 1350990 1486089 1573506 1651210 2026485 2431782 2476815 2622510 2972178 3933765 4052970 4458267 4953630 6079455 7430445 7867530 8916534 12158910 13374801 14860890 22291335 26749602 44582670 66874005 133748010