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137608650 = 23252597173
BaseRepresentation
bin10000011001110…
…11110111001010
3100120221020120200
420030323313022
5240211434100
621353233030
73260440254
oct1014736712
9316836520
10137608650
1170749463
123a102776
1322680a4a
14143c0cd4
15c132e00
hex833bdca

137608650 has 144 divisors (see below), whose sum is σ = 386493120. Its totient is φ = 35078400.

The previous prime is 137608633. The next prime is 137608663. The reversal of 137608650 is 56806731.

It is a super-2 number, since 2×1376086502 = 37872281109645000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1885014 + ... + 1885086.

It is an arithmetic number, because the mean of its divisors is an integer number (2683980).

Almost surely, 2137608650 is an apocalyptic number.

137608650 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 137608650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193246560).

137608650 is an abundant number, since it is smaller than the sum of its proper divisors (248884470).

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

137608650 is a wasteful number, since it uses less digits than its factorization.

137608650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 137608650 is about 11730.6713362876. The cubic root of 137608650 is about 516.2759700991.

The spelling of 137608650 in words is "one hundred thirty-seven million, six hundred eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 59 71 73 75 90 118 142 146 150 177 213 219 225 295 354 355 365 426 438 450 531 590 639 657 710 730 885 1062 1065 1095 1278 1314 1475 1770 1775 1825 2130 2190 2655 2950 3195 3285 3550 3650 4189 4307 4425 5183 5310 5325 5475 6390 6570 8378 8614 8850 10366 10650 10950 12567 12921 13275 15549 15975 16425 20945 21535 25134 25842 25915 26550 31098 31950 32850 37701 38763 41890 43070 46647 51830 62835 64605 75402 77526 77745 93294 104725 107675 125670 129210 129575 155490 188505 193815 209450 215350 233235 259150 305797 314175 323025 377010 387630 388725 466470 611594 628350 646050 777450 917391 942525 969075 1166175 1528985 1834782 1885050 1938150 2332350 2752173 3057970 4586955 5504346 7644925 9173910 13760865 15289850 22934775 27521730 45869550 68804325 137608650