Search a number
-
+
135468512 = 25172931277
BaseRepresentation
bin10000001001100…
…01010111100000
3100102220111212022
420010301113200
5234134443022
621235321012
73233314634
oct1004612740
9312814768
10135468512
116a517553
1239450168
13220b18aa
1413dc4dc4
15bd5dc42
hex81315e0

135468512 has 96 divisors (see below), whose sum is σ = 302641920. Its totient is φ = 59351040.

The previous prime is 135468511. The next prime is 135468517. The reversal of 135468512 is 215864531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135468511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488918 + ... + 489194.

It is an arithmetic number, because the mean of its divisors is an integer number (3152520).

Almost surely, 2135468512 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 135468512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151320960).

135468512 is an abundant number, since it is smaller than the sum of its proper divisors (167173408).

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

135468512 is a wasteful number, since it uses less digits than its factorization.

135468512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 135468512 is about 11639.0941228259. The cubic root of 135468512 is about 513.5855390060.

The spelling of 135468512 in words is "one hundred thirty-five million, four hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 29 31 32 34 58 62 68 116 124 136 232 248 272 277 464 493 496 527 544 554 899 928 986 992 1054 1108 1798 1972 2108 2216 3596 3944 4216 4432 4709 7192 7888 8033 8432 8587 8864 9418 14384 15283 15776 16066 16864 17174 18836 28768 30566 32132 34348 37672 61132 64264 68696 75344 122264 128528 136561 137392 145979 150688 244528 249023 257056 273122 274784 291958 489056 498046 546244 583916 996092 1092488 1167832 1992184 2184976 2335664 3984368 4233391 4369952 4671328 7968736 8466782 16933564 33867128 67734256 135468512