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137199606540 = 22355992941719
BaseRepresentation
bin111111111000110111…
…0111101101100001100
3111010010200021011002220
41333301232331230030
54221441044402130
6143010103415340
712624635261613
oct1776156755414
9433120234086
10137199606540
1153205668087
122270ba54550
13cc26657949
1468d774487a
15387ee5a410
hex1ff1bbdb0c

137199606540 has 96 divisors (see below), whose sum is σ = 391099968000. Its totient is φ = 35926874112.

The previous prime is 137199606527. The next prime is 137199606553. The reversal of 137199606540 is 45606991731.

It is an interprime number because it is at equal distance from previous prime (137199606527) and next prime (137199606553).

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, 3267801 + ... + 3309519.

It is an arithmetic number, because the mean of its divisors is an integer number (4073958000).

Almost surely, 2137199606540 is an apocalyptic number.

137199606540 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 137199606540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195549984000).

137199606540 is an abundant number, since it is smaller than the sum of its proper divisors (253900361460).

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

137199606540 is a wasteful number, since it uses less digits than its factorization.

137199606540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42719 (or 42717 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 137199606540 in words is "one hundred thirty-seven billion, one hundred ninety-nine million, six hundred six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 929 1180 1770 1858 2787 3540 3716 4645 5574 9290 11148 13935 18580 27870 41719 54811 55740 83438 109622 125157 164433 166876 208595 219244 250314 274055 328866 417190 500628 548110 625785 657732 822165 834380 1096220 1251570 1644330 2461421 2503140 3288660 4922842 7384263 9845684 12307105 14768526 24614210 29537052 36921315 38756951 49228420 73842630 77513902 116270853 147685260 155027804 193784755 232541706 387569510 465083412 581354265 775139020 1162708530 2286660109 2325417060 4573320218 6859980327 9146640436 11433300545 13719960654 22866601090 27439921308 34299901635 45733202180 68599803270 137199606540