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135283876 = 227131931631
BaseRepresentation
bin10000001000001…
…00010010100100
3100102120010120221
420010010102210
5234113041001
621231334124
73231615430
oct1004042244
9312503527
10135283876
116a400862
1239381344
1322048840
1413d779c0
15bd241a1
hex81044a4

135283876 has 96 divisors (see below), whose sum is σ = 317112320. Its totient is φ = 48988800.

The previous prime is 135283867. The next prime is 135283901. The reversal of 135283876 is 678382531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214081 + ... + 214711.

Almost surely, 2135283876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135283876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158556160).

135283876 is an abundant number, since it is smaller than the sum of its proper divisors (181828444).

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

135283876 is a wasteful number, since it uses less digits than its factorization.

135283876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 703 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 135283876 is about 11631.1597014227. The cubic root of 135283876 is about 513.3521034721.

The spelling of 135283876 in words is "one hundred thirty-five million, two hundred eighty-three thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 13 14 19 26 28 31 38 52 62 76 91 124 133 182 217 247 266 364 403 434 494 532 589 631 806 868 988 1178 1262 1612 1729 2356 2524 2821 3458 4123 4417 5642 6916 7657 8203 8246 8834 11284 11989 15314 16406 16492 17668 19561 23978 30628 32812 39122 47956 53599 57421 78244 83923 107198 114842 136927 155857 167846 214396 229684 254293 273854 311714 335692 371659 508586 547708 623428 743318 1017172 1090999 1486636 1780051 2181998 2601613 3560102 4363996 4831567 5203226 7120204 9663134 10406452 19326268 33820969 67641938 135283876