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135781712 = 24112937719
BaseRepresentation
bin10000001011111…
…01110101010000
3100110111102111022
420011331311100
5234230003322
621250135012
73236061023
oct1005756520
9313442438
10135781712
116a7108a0
1239581468
1322191311
14140671ba
15bdc1942
hex817dd50

135781712 has 80 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 57899520.

The previous prime is 135781699. The next prime is 135781747. The reversal of 135781712 is 217187531.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 188489 + ... + 189207.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2135781712 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 135781712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

135781712 is an abundant number, since it is smaller than the sum of its proper divisors (169555888).

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

135781712 is a wasteful number, since it uses less digits than its factorization.

135781712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its digits is 11760, while the sum is 35.

The square root of 135781712 is about 11652.5410104406. The cubic root of 135781712 is about 513.9810335828.

The spelling of 135781712 in words is "one hundred thirty-five million, seven hundred eighty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 37 44 58 74 88 116 148 176 232 296 319 407 464 592 638 719 814 1073 1276 1438 1628 2146 2552 2876 3256 4292 5104 5752 6512 7909 8584 11504 11803 15818 17168 20851 23606 26603 31636 41702 47212 53206 63272 83404 94424 106412 126544 166808 188848 212824 229361 292633 333616 425648 458722 585266 771487 917444 1170532 1542974 1834888 2341064 3085948 3669776 4682128 6171896 8486357 12343792 16972714 33945428 67890856 135781712