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137303112540 = 223511474426277
BaseRepresentation
bin111111111011111100…
…1110011101101011100
3111010101220000210122110
41333313321303231130
54222144044100130
6143024242114020
712630333125436
oct1776771635534
9433356023573
10137303112540
1153259033730
122273a64b910
13cc41c281b9
1469073a9656
1538890a3ab0
hex1ff7e73b5c

137303112540 has 96 divisors (see below), whose sum is σ = 428322069504. Its totient is φ = 32577391360.

The previous prime is 137303112539. The next prime is 137303112601. The reversal of 137303112540 is 45211303731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137303112498 and 137303112507.

It is a congruent number.

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, 2182119 + ... + 2244158.

It is an arithmetic number, because the mean of its divisors is an integer number (4461688224).

Almost surely, 2137303112540 is an apocalyptic number.

137303112540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137303112540 is an abundant number, since it is smaller than the sum of its proper divisors (291018956964).

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

137303112540 is a wasteful number, since it uses less digits than its factorization.

137303112540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426347 (or 4426345 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 137303112540 in words is "one hundred thirty-seven billion, three hundred three million, one hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 15510 31020 4426277 8852554 13278831 17705108 22131385 26557662 44262770 48689047 53115324 66394155 88525540 97378094 132788310 146067141 194756188 208035019 243445235 265576620 292134282 416070038 486890470 584268564 624105057 730335705 832140076 973780940 1040175095 1248210114 1460671410 2080350190 2288385209 2496420228 2921342820 3120525285 4160700380 4576770418 6241050570 6865155627 9153540836 11441926045 12482101140 13730311254 22883852090 27460622508 34325778135 45767704180 68651556270 137303112540