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135486750 = 23537131197
BaseRepresentation
bin10000001001101…
…01110100011110
3100102221102212210
420010311310132
5234141034000
621235541250
73233422050
oct1004656436
9312842783
10135486750
116a52a223
123945a826
13220b9c99
1413dcb8d0
15bd64350
hex8135d1e

135486750 has 128 divisors (see below), whose sum is σ = 391412736. Its totient is φ = 30576000.

The previous prime is 135486733. The next prime is 135486763. The reversal of 135486750 is 57684531.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135486699 and 135486708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 687652 + ... + 687848.

It is an arithmetic number, because the mean of its divisors is an integer number (3057912).

Almost surely, 2135486750 is an apocalyptic number.

135486750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135486750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195706368).

135486750 is an abundant number, since it is smaller than the sum of its proper divisors (255925986).

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

135486750 is a wasteful number, since it uses less digits than its factorization.

135486750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 135486750 is about 11639.8775766758. The cubic root of 135486750 is about 513.6085858198.

The spelling of 135486750 in words is "one hundred thirty-five million, four hundred eighty-six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 131 150 175 197 210 250 262 350 375 393 394 525 591 655 750 786 875 917 985 1050 1182 1310 1379 1750 1834 1965 1970 2625 2751 2758 2955 3275 3930 4137 4585 4925 5250 5502 5910 6550 6895 8274 9170 9825 9850 13755 13790 14775 16375 19650 20685 22925 24625 25807 27510 29550 32750 34475 41370 45850 49125 49250 51614 68775 68950 73875 77421 98250 103425 114625 129035 137550 147750 154842 172375 180649 206850 229250 258070 343875 344750 361298 387105 517125 541947 645175 687750 774210 903245 1034250 1083894 1290350 1806490 1935525 2709735 3225875 3871050 4516225 5419470 6451750 9032450 9677625 13548675 19355250 22581125 27097350 45162250 67743375 135486750