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137637208908 = 223329212312
BaseRepresentation
bin1000000000101111010…
…0010010001101001100
3111011021011200122201000
42000023310102031030
54223340111141113
6143121335020300
712641530654353
oct2001364221514
9434234618630
10137637208908
115340a686231
122281250a690
13cc96203664
1469398d699a
1538a859a373
hex200bd1234c

137637208908 has 108 divisors (see below), whose sum is σ = 369866700840. Its totient is φ = 44261048160.

The previous prime is 137637208747. The next prime is 137637208909. The reversal of 137637208908 is 809802736731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (137637208909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111808653 + ... + 111809883.

Almost surely, 2137637208908 is an apocalyptic number.

137637208908 is a gapful number since it is divisible by the number (18) 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 137637208908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184933350420).

137637208908 is an abundant number, since it is smaller than the sum of its proper divisors (232229491932).

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

137637208908 is an equidigital number, since it uses as much as digits as its factorization.

137637208908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 137637208908 in words is "one hundred thirty-seven billion, six hundred thirty-seven million, two hundred eight thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 841 1044 1231 1566 1682 2462 2523 3132 3364 3693 4924 5046 7386 7569 10092 11079 14772 15138 22158 22707 30276 33237 35699 44316 45414 66474 71398 90828 107097 132948 142796 214194 321291 428388 642582 963873 1035271 1285164 1515361 1927746 2070542 3030722 3105813 3855492 4141084 4546083 6061444 6211626 9092166 9317439 12423252 13638249 18184332 18634878 27276498 27952317 37269756 40914747 43945469 54552996 55904634 81829494 87890938 111809268 131836407 163658988 175781876 263672814 395509221 527345628 791018442 1186527663 1274418601 1582036884 2373055326 2548837202 3823255803 4746110652 5097674404 7646511606 11469767409 15293023212 22939534818 34409302227 45879069636 68818604454 137637208908