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137427483560 = 23571131521709
BaseRepresentation
bin111111111111101010…
…0001111101110101000
3111010201120001111121112
41333333110033232220
54222422413433220
6143044443525452
712633403223243
oct1777724175650
9433646044545
10137427483560
11533122604a4
1222774229888
13cc61922813
146919b0225a
153894e6e5c5
hex1fff50fba8

137427483560 has 128 divisors (see below), whose sum is σ = 317013523200. Its totient is φ = 53604096000.

The previous prime is 137427483553. The next prime is 137427483593. The reversal of 137427483560 is 65384724731.

It is a junction number, because it is equal to n+sod(n) for n = 137427483499 and 137427483508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193832486 + ... + 193833194.

It is an arithmetic number, because the mean of its divisors is an integer number (2476668150).

Almost surely, 2137427483560 is an apocalyptic number.

137427483560 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 137427483560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158506761600).

137427483560 is an abundant number, since it is smaller than the sum of its proper divisors (179586039640).

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

137427483560 is a wasteful number, since it uses less digits than its factorization.

137427483560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 137427483560 in words is "one hundred thirty-seven billion, four hundred twenty-seven million, four hundred eighty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 71 131 142 262 284 355 521 524 568 655 709 710 1042 1048 1310 1418 1420 2084 2605 2620 2836 2840 3545 4168 5210 5240 5672 7090 9301 10420 14180 18602 20840 28360 36991 37204 46505 50339 68251 73982 74408 92879 93010 100678 136502 147964 184955 185758 186020 201356 251695 273004 295928 341255 369389 369910 371516 372040 402712 464395 503390 546008 682510 738778 739820 743032 928790 1006780 1365020 1477556 1479640 1846945 1857580 2013560 2730040 2955112 3693890 3715160 4845821 6594409 7387780 9691642 13188818 14775560 19383284 24229105 26226619 26377636 32972045 38766568 48389959 48458210 52453238 52755272 65944090 96779918 96916420 104906476 131133095 131888180 193559836 193832840 209812952 241949795 262266190 263776360 387119672 483899590 524532380 967799180 1049064760 1935598360 3435687089 6871374178 13742748356 17178435445 27485496712 34356870890 68713741780 137427483560