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137104454551080 = 233522917472855893
BaseRepresentation
bin11111001011001000011110…
…010011111000011000101000
3122222110001120011122020201010
4133023020132103320120220
5120432304410331113310
61203332530015023520
740610320124046612
oct3713103623703050
9588401504566633
10137104454551080
113a75a744319845
121346391850aba0
135b66b82542c93
1425bdc68ccddb2
1510cb6050e4320
hex7cb21e4f8628

137104454551080 has 128 divisors (see below), whose sum is σ = 413346104553600. Its totient is φ = 36380682703872.

The previous prime is 137104454551069. The next prime is 137104454551081. The reversal of 137104454551080 is 80155454401731.

137104454551080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1371044545510802 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137104454551081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46579614 + ... + 49435506.

It is an arithmetic number, because the mean of its divisors is an integer number (3229266441825).

Almost surely, 2137104454551080 is an apocalyptic number.

137104454551080 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 137104454551080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206673052276800).

137104454551080 is an abundant number, since it is smaller than the sum of its proper divisors (276241650002520).

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

137104454551080 is a wasteful number, since it uses less digits than its factorization.

137104454551080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857883 (or 2857879 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 137104454551080 in words is "one hundred thirty-seven trillion, one hundred four billion, four hundred fifty-four million, five hundred fifty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 916 1145 1374 1747 1832 2290 2748 3435 3494 4580 5241 5496 6870 6988 8735 9160 10482 13740 13976 17470 20964 26205 27480 34940 41928 52410 69880 104820 209640 400063 800126 1200189 1600252 2000315 2400378 2855893 3200504 4000630 4800756 5711786 6000945 8001260 8567679 9601512 11423572 12001890 14279465 16002520 17135358 22847144 24003780 28558930 34270716 42838395 48007560 57117860 68541432 85676790 114235720 171353580 342707160 653999497 1307998994 1961998491 2615997988 3269997485 3923996982 4989245071 5231995976 6539994970 7847993964 9809992455 9978490142 13079989940 14967735213 15695987928 19619984910 19956980284 24946225355 26159979880 29935470426 39239969820 39913960568 49892450710 59870940852 74838676065 78479939640 99784901420 119741881704 149677352130 199569802840 299354704260 598709408520 1142537121259 2285074242518 3427611363777 4570148485036 5712685606295 6855222727554 9140296970072 11425371212590 13710445455108 17138056818885 22850742425180 27420890910216 34276113637770 45701484850360 68552227275540 137104454551080