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128136036 = 223723292287
BaseRepresentation
bin1111010001100…
…11001101100100
322221002222121010
413220303031210
5230300323121
620414222220
73114065310
oct750631544
9287088533
10128136036
1166369556
1236ab4970
1320715252
1413036b40
15b3b1376
hex7a33364

128136036 has 96 divisors (see below), whose sum is σ = 369008640. Its totient is φ = 33796224.

The previous prime is 128135999. The next prime is 128136037. The reversal of 128136036 is 630631821.

128136036 is a nontrivial binomial coefficient, being equal to C(16009, 2).

It is a junction number, because it is equal to n+sod(n) for n = 128135994 and 128136012.

It is not an unprimeable number, because it can be changed into a prime (128136037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54885 + ... + 57171.

It is an arithmetic number, because the mean of its divisors is an integer number (3843840).

Almost surely, 2128136036 is an apocalyptic number.

128136036 is the 16008-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128136036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184504320).

128136036 is an abundant number, since it is smaller than the sum of its proper divisors (240872604).

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

128136036 is a wasteful number, since it uses less digits than its factorization.

128136036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 128136036 is about 11319.7189011035. The cubic root of 128136036 is about 504.1468928094.

Adding to 128136036 its reverse (630631821), we get a palindrome (758767857).

The spelling of 128136036 in words is "one hundred twenty-eight million, one hundred thirty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 29 42 46 58 69 84 87 92 116 138 161 174 203 276 322 348 406 483 609 644 667 812 966 1218 1334 1932 2001 2287 2436 2668 4002 4574 4669 6861 8004 9148 9338 13722 14007 16009 18676 27444 28014 32018 48027 52601 56028 64036 66323 96054 105202 132646 157803 192108 198969 210404 265292 315606 368207 397938 464261 631212 736414 795876 928522 1104621 1392783 1472828 1525429 1857044 2209242 2785566 3050858 4418484 4576287 5571132 6101716 9152574 10678003 18305148 21356006 32034009 42712012 64068018 128136036