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137660880 = 24357671223
BaseRepresentation
bin10000011010010…
…00100111010000
3100121000220020010
420031020213100
5240220122010
621354314520
73261045450
oct1015104720
9317026203
10137660880
1170784725
123a128a40
132269b756
14143d5d60
15c143620
hex83489d0

137660880 has 160 divisors (see below), whose sum is σ = 495396864. Its totient is φ = 30970368.

The previous prime is 137660857. The next prime is 137660881. The reversal of 137660880 is 88066731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137660881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111949 + ... + 113171.

Almost surely, 2137660880 is an apocalyptic number.

137660880 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 137660880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247698432).

137660880 is an abundant number, since it is smaller than the sum of its proper divisors (357735984).

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

137660880 is a wasteful number, since it uses less digits than its factorization.

137660880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 137660880 is about 11732.8973403844. The cubic root of 137660880 is about 516.3412801482.

The spelling of 137660880 in words is "one hundred thirty-seven million, six hundred sixty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 80 84 105 112 120 134 140 168 201 210 240 268 280 335 336 402 420 469 536 560 670 804 840 938 1005 1072 1223 1340 1407 1608 1680 1876 2010 2345 2446 2680 2814 3216 3669 3752 4020 4690 4892 5360 5628 6115 7035 7338 7504 8040 8561 9380 9784 11256 12230 14070 14676 16080 17122 18345 18760 19568 22512 24460 25683 28140 29352 34244 36690 37520 42805 48920 51366 56280 58704 68488 73380 81941 85610 97840 102732 112560 128415 136976 146760 163882 171220 205464 245823 256830 293520 327764 342440 409705 410928 491646 513660 573587 655528 684880 819410 983292 1027320 1147174 1229115 1311056 1638820 1720761 1966584 2054640 2294348 2458230 2867935 3277640 3441522 3933168 4588696 4916460 5735870 6555280 6883044 8603805 9177392 9832920 11471740 13766088 17207610 19665840 22943480 27532176 34415220 45886960 68830440 137660880