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135116300 = 225211122833
BaseRepresentation
bin10000000110110…
…11011000001100
3100102020121201102
420003123120030
5234042210200
621224002232
73230320034
oct1003333014
9312217642
10135116300
116a2a6970
1239300378
1321cba497
1413d328c4
15bcde6d5
hex80db60c

135116300 has 36 divisors (see below), whose sum is σ = 319859736. Its totient is φ = 49132800.

The previous prime is 135116297. The next prime is 135116309. The reversal of 135116300 is 3611531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (135116309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60317 + ... + 62516.

Almost surely, 2135116300 is an apocalyptic number.

135116300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135116300 is an abundant number, since it is smaller than the sum of its proper divisors (184743436).

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

135116300 is a wasteful number, since it uses less digits than its factorization.

135116300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122858 (or 122851 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 135116300 is about 11623.9537163566. The cubic root of 135116300 is about 513.1400529825.

Adding to 135116300 its reverse (3611531), we get a palindrome (138727831).

The spelling of 135116300 in words is "one hundred thirty-five million, one hundred sixteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 122833 245666 491332 614165 1228330 1351163 2456660 2702326 3070825 5404652 6141650 6755815 12283300 13511630 27023260 33779075 67558150 135116300