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137504466 = 2351117289
BaseRepresentation
bin10000011001000…
…10011011010010
3100120201221200000
420030202123102
5240200120331
621351110430
73256524441
oct1014423322
9316657600
10137504466
1170688160
123a072416
13226454b8
1414394d58
15c1120e6
hex83226d2

137504466 has 144 divisors (see below), whose sum is σ = 362063520. Its totient is φ = 38776320.

The previous prime is 137504459. The next prime is 137504489. The reversal of 137504466 is 664405731.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137504466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1544950 + ... + 1545038.

It is an arithmetic number, because the mean of its divisors is an integer number (2514330).

Almost surely, 2137504466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137504466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181031760).

137504466 is an abundant number, since it is smaller than the sum of its proper divisors (224559054).

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

137504466 is a wasteful number, since it uses less digits than its factorization.

137504466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 137504466 is about 11726.2298288921. The cubic root of 137504466 is about 516.1456457440.

The spelling of 137504466 in words is "one hundred thirty-seven million, five hundred four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 89 99 102 153 162 178 187 198 243 267 289 297 306 374 459 486 534 561 578 594 801 867 891 918 979 1122 1377 1513 1602 1683 1734 1782 1958 2403 2601 2673 2754 2937 3026 3179 3366 4131 4539 4806 5049 5202 5346 5874 6358 7209 7803 8262 8811 9078 9537 10098 13617 14418 15147 15606 16643 17622 19074 21627 23409 25721 26433 27234 28611 30294 33286 40851 43254 45441 46818 49929 51442 52866 57222 70227 77163 79299 81702 85833 90882 99858 122553 140454 149787 154326 158598 171666 231489 237897 245106 257499 282931 299574 367659 449361 462978 475794 514998 565862 694467 735318 772497 848793 898722 1348083 1388934 1544994 1697586 2083401 2546379 2696166 4044249 4166802 5092758 6250203 7639137 8088498 12500406 15278274 22917411 45834822 68752233 137504466