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135885300 = 223522915619
BaseRepresentation
bin10000001100101…
…11000111110100
3100110200200120220
420012113013310
5234241312200
621252254340
73240002025
oct1006270764
9313620526
10135885300
116a781701
12396113b0
13221c9505
1414092c4c
15bde24a0
hex81971f4

135885300 has 72 divisors (see below), whose sum is σ = 406744800. Its totient is φ = 34984320.

The previous prime is 135885287. The next prime is 135885341. The reversal of 135885300 is 3588531.

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 23 ways as a sum of consecutive naturals, for example, 891 + ... + 16509.

Almost surely, 2135885300 is an apocalyptic number.

135885300 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 135885300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203372400).

135885300 is an abundant number, since it is smaller than the sum of its proper divisors (270859500).

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

135885300 is a wasteful number, since it uses less digits than its factorization.

135885300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15665 (or 15658 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 135885300 is about 11656.9850304442. The cubic root of 135885300 is about 514.1117059017. Note that the first 3 decimals are identical.

The spelling of 135885300 in words is "one hundred thirty-five million, eight hundred eighty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 15619 31238 46857 62476 78095 93714 156190 187428 234285 312380 390475 452951 468570 780950 905902 937140 1171425 1358853 1561900 1811804 2264755 2342850 2717706 4529510 4685700 5435412 6794265 9059020 11323775 13588530 22647550 27177060 33971325 45295100 67942650 135885300