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136132777260 = 223257159917783
BaseRepresentation
bin111111011001000100…
…1010101010100101100
3111000101022211121110100
41332302021111110230
54212244442333020
6142312153511100
712556332341304
oct1766211252454
9430338747410
10136132777260
1152808449497
1222472712490
13cab661c20c
146835b9c604
15381b477a90
hex1fb225552c

136132777260 has 144 divisors (see below), whose sum is σ = 419474764800. Its totient is φ = 35729016960.

The previous prime is 136132777217. The next prime is 136132777267. The reversal of 136132777260 is 62777231631.

136132777260 is a `hidden beast` number, since 1 + 3 + 61 + 327 + 7 + 7 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (136132777267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7646329 + ... + 7664111.

It is an arithmetic number, because the mean of its divisors is an integer number (2913019200).

Almost surely, 2136132777260 is an apocalyptic number.

136132777260 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 136132777260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209737382400).

136132777260 is an abundant number, since it is smaller than the sum of its proper divisors (283341987540).

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

136132777260 is a wasteful number, since it uses less digits than its factorization.

136132777260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18468 (or 18463 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 136132777260 in words is "one hundred thirty-six billion, one hundred thirty-two million, seven hundred seventy-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 599 639 710 852 1065 1198 1278 1420 1797 2130 2396 2556 2995 3195 3594 4260 5391 5990 6390 7188 8985 10782 11980 12780 17783 17970 21564 26955 35566 35940 42529 53349 53910 71132 85058 88915 106698 107820 127587 160047 170116 177830 212645 213396 255174 266745 320094 355660 382761 425290 510348 533490 637935 640188 765522 800235 850580 1066980 1262593 1275870 1531044 1600470 1913805 2525186 2551740 3200940 3787779 3827610 5050372 6312965 7575558 7655220 10652017 11363337 12625930 15151116 18938895 21304034 22726674 25251860 31956051 37877790 42608068 45453348 53260085 56816685 63912102 75755580 95868153 106520170 113633370 127824204 159780255 191736306 213040340 227266740 319560510 383472612 479340765 639121020 756293207 958681530 1512586414 1917363060 2268879621 3025172828 3781466035 4537759242 6806638863 7562932070 9075518484 11344398105 13613277726 15125864140 22688796210 27226555452 34033194315 45377592420 68066388630 136132777260