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136114131260 = 225411031639887
BaseRepresentation
bin111111011000100001…
…0001101000100111100
3111000100000202021221202
41332301002031010330
54212230204200020
6142310250115032
712556015011632
oct1766102150474
9430300667852
10136114131260
11527a8973478
122246841ba78
13cab27c1193
146833507352
1538199e2e75
hex1fb108d13c

136114131260 has 96 divisors (see below), whose sum is σ = 297498120192. Its totient is φ = 52274004480.

The previous prime is 136114131247. The next prime is 136114131269. The reversal of 136114131260 is 62131411631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136114131269) 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, 13762037 + ... + 13771923.

It is an arithmetic number, because the mean of its divisors is an integer number (3098938752).

Almost surely, 2136114131260 is an apocalyptic number.

136114131260 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 136114131260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148749060096).

136114131260 is an abundant number, since it is smaller than the sum of its proper divisors (161383988932).

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

136114131260 is a wasteful number, since it uses less digits than its factorization.

136114131260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10203 (or 10201 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 136114131260 its reverse (62131411631), we get a palindrome (198245542891).

The spelling of 136114131260 in words is "one hundred thirty-six billion, one hundred fourteen million, one hundred thirty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 103 163 164 205 206 326 410 412 515 652 815 820 1030 1630 2060 3260 4223 6683 8446 9887 13366 16789 16892 19774 21115 26732 33415 33578 39548 42230 49435 66830 67156 83945 84460 98870 133660 167890 197740 335780 405367 688349 810734 1018361 1376698 1611581 1621468 2026835 2036722 2753396 3223162 3441745 4053670 4073444 5091805 6446324 6883490 8057905 8107340 10183610 13766980 16115810 20367220 32231620 41752801 66074821 83505602 132149642 165992843 167011204 208764005 264299284 330374105 331985686 417528010 660748210 663971372 829964215 835056020 1321496420 1659928430 3319856860 6805706563 13611413126 27222826252 34028532815 68057065630 136114131260