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136763041540 = 225374130714683
BaseRepresentation
bin111111101011110110…
…1100110011100000100
3111002000020210100111211
41333113231212130010
54220042314312130
6142454510341204
712611054446426
oct1772755463404
9432006710454
10136763041540
1153001198364
12226097ba804
13cb87083168
146895782816
153856972a2a
hex1fd7b66704

136763041540 has 96 divisors (see below), whose sum is σ = 303163749504. Its totient is φ = 51755811840.

The previous prime is 136763041487. The next prime is 136763041543. The reversal of 136763041540 is 45140367631.

It is a junction number, because it is equal to n+sod(n) for n = 136763041493 and 136763041502.

It is not an unprimeable number, because it can be changed into a prime (136763041543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9307039 + ... + 9321721.

It is an arithmetic number, because the mean of its divisors is an integer number (3157955724).

Almost surely, 2136763041540 is an apocalyptic number.

136763041540 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 136763041540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151581874752).

136763041540 is an abundant number, since it is smaller than the sum of its proper divisors (166400707964).

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

136763041540 is a wasteful number, since it uses less digits than its factorization.

136763041540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15077 (or 15075 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 136763041540 in words is "one hundred thirty-six billion, seven hundred sixty-three million, forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 185 205 307 370 410 614 740 820 1228 1517 1535 3034 3070 6068 6140 7585 11359 12587 14683 15170 22718 25174 29366 30340 45436 50348 56795 58732 62935 73415 113590 125870 146830 227180 251740 293660 465719 543271 602003 931438 1086542 1204006 1862876 2173084 2328595 2408012 2716355 3010015 4507681 4657190 5432710 6020030 9015362 9314380 10865420 12040060 18030724 22274111 22538405 44548222 45076810 89096444 90153620 111370555 166784197 184814921 222741110 333568394 369629842 445482220 667136788 739259684 833920985 924074605 1667841970 1848149210 3335683940 3696298420 6838152077 13676304154 27352608308 34190760385 68381520770 136763041540