Search a number
-
+
135394688 = 2711132569
BaseRepresentation
bin10000001000111…
…11010110000000
3100102202202121002
420010133112000
5234130112223
621233551132
73232556462
oct1004372600
9312682532
10135394688
116a477040
12394154a8
1322087100
1413da6132
15bd46e28
hex811f580

135394688 has 96 divisors (see below), whose sum is σ = 319188600. Its totient is φ = 56709120.

The previous prime is 135394687. The next prime is 135394709. The reversal of 135394688 is 886493531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135394687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237668 + ... + 238236.

Almost surely, 2135394688 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 135394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159594300).

135394688 is an abundant number, since it is smaller than the sum of its proper divisors (183793912).

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

135394688 is a wasteful number, since it uses less digits than its factorization.

135394688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 595 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The square root of 135394688 is about 11635.9223098128. The cubic root of 135394688 is about 513.4922286919.

The spelling of 135394688 in words is "one hundred thirty-five million, three hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 169 176 208 286 338 352 416 569 572 676 704 832 1138 1144 1352 1408 1664 1859 2276 2288 2704 3718 4552 4576 5408 6259 7397 7436 9104 9152 10816 12518 14794 14872 18208 18304 21632 25036 29588 29744 36416 50072 59176 59488 72832 81367 96161 100144 118352 118976 162734 192322 200288 236704 237952 325468 384644 400576 473408 650936 769288 801152 946816 1057771 1301872 1538576 2115542 2603744 3077152 4231084 5207488 6154304 8462168 10414976 12308608 16924336 33848672 67697344 135394688