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136089715140 = 2235595329383
BaseRepresentation
bin111111010111110010…
…1000100000111000100
3111000021022210211100000
41332233211010013010
54212202431341030
6142304014521300
712555300330621
oct1765745040704
9430238724300
10136089715140
1152796107265
1222460206230
13caaa722982
14683018d348
1538177bd860
hex1faf9441c4

136089715140 has 144 divisors (see below), whose sum is σ = 428558352768. Its totient is φ = 36251276544.

The previous prime is 136089715117. The next prime is 136089715169. The reversal of 136089715140 is 41517980631.

136089715140 is a `hidden beast` number, since 1 + 3 + 60 + 8 + 9 + 71 + 514 + 0 = 666.

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

It is an unprimeable number.

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, 4616889 + ... + 4646271.

It is an arithmetic number, because the mean of its divisors is an integer number (2976099672).

Almost surely, 2136089715140 is an apocalyptic number.

136089715140 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 136089715140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214279176384).

136089715140 is an abundant number, since it is smaller than the sum of its proper divisors (292468637628).

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

136089715140 is a wasteful number, since it uses less digits than its factorization.

136089715140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30360 (or 30346 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 136089715140 in words is "one hundred thirty-six billion, eighty-nine million, seven hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 953 972 1215 1620 1906 2430 2859 3812 4765 4860 5718 8577 9530 11436 14295 17154 19060 25731 28590 29383 34308 42885 51462 57180 58766 77193 85770 88149 102924 117532 128655 146915 154386 171540 176298 231579 257310 264447 293830 308772 352596 385965 440745 463158 514620 528894 587660 771930 793341 881490 926316 1057788 1157895 1322235 1543860 1586682 1762980 2315790 2380023 2644470 3173364 3966705 4631580 4760046 5288940 7140069 7933410 9520092 11900115 14280138 15866820 23800230 28001999 28560276 35700345 47600460 56003998 71400690 84005997 112007996 140009995 142801380 168011994 252017991 280019990 336023988 420029985 504035982 560039980 756053973 840059970 1008071964 1260089955 1512107946 1680119940 2268161919 2520179910 3024215892 3780269865 4536323838 5040359820 6804485757 7560539730 9072647676 11340809595 13608971514 15121079460 22681619190 27217943028 34022428785 45363238380 68044857570 136089715140