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136374866260 = 225191375574703
BaseRepresentation
bin111111100000010010…
…0110101000101010100
3111001000012101000010121
41333000210311011110
54213243431210020
6142352202401324
712565332144163
oct1770044650524
9431005330117
10136374866260
1152922069546
122251b800244
13cb24821b49
146859db93da
153832847baa
hex1fc0935154

136374866260 has 96 divisors (see below), whose sum is σ = 304270525440. Its totient is φ = 51198686208.

The previous prime is 136374866239. The next prime is 136374866267. The reversal of 136374866260 is 62668473631.

It is a junction number, because it is equal to n+sod(n) for n = 136374866198 and 136374866207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136374866267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28995069 + ... + 28999771.

It is an arithmetic number, because the mean of its divisors is an integer number (3169484640).

Almost surely, 2136374866260 is an apocalyptic number.

136374866260 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 136374866260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152135262720).

136374866260 is an abundant number, since it is smaller than the sum of its proper divisors (167895659180).

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

136374866260 is a wasteful number, since it uses less digits than its factorization.

136374866260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 136374866260 in words is "one hundred thirty-six billion, three hundred seventy-four million, eight hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 137 190 274 380 548 557 685 1114 1370 2228 2603 2740 2785 4703 5206 5570 9406 10412 10583 11140 13015 18812 21166 23515 26030 42332 47030 52060 52915 76309 89357 94060 105830 152618 178714 211660 305236 357428 381545 446785 644311 763090 893570 1288622 1449871 1526180 1787140 2577244 2619571 2899742 3221555 5239142 5799484 6443110 7249355 10478284 12241909 12886220 13097855 14498710 24483818 26195710 28997420 48967636 49771849 52391420 61209545 99543698 122419090 199087396 244838180 248859245 358881227 497718490 717762454 995436980 1435524908 1794406135 3588812270 6818743313 7177624540 13637486626 27274973252 34093716565 68187433130 136374866260