Search a number
-
+
134465136 = 24313229941
BaseRepresentation
bin10000000001111…
…00011001110000
3100101000112111020
420000330121300
5233410341021
621202015440
73221635431
oct1000743160
9311015436
10134465136
11699a1713
1239047580
1321b1cc90
1413c03488
15bc117c6
hex803c670

134465136 has 80 divisors (see below), whose sum is σ = 376121760. Its totient is φ = 41149440.

The previous prime is 134465131. The next prime is 134465137. The reversal of 134465136 is 631564431.

It is a junction number, because it is equal to n+sod(n) for n = 134465097 and 134465106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134465131) 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, 142426 + ... + 143366.

It is an arithmetic number, because the mean of its divisors is an integer number (4701522).

Almost surely, 2134465136 is an apocalyptic number.

134465136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134465136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188060880).

134465136 is an abundant number, since it is smaller than the sum of its proper divisors (241656624).

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

134465136 is a wasteful number, since it uses less digits than its factorization.

134465136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1188 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 134465136 is about 11595.9103135545. The cubic root of 134465136 is about 512.3144024366.

The spelling of 134465136 in words is "one hundred thirty-four million, four hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 229 312 458 624 687 916 941 1374 1832 1882 2748 2823 2977 3664 3764 5496 5646 5954 7528 8931 10992 11292 11908 12233 15056 17862 22584 23816 24466 35724 36699 45168 47632 48932 71448 73398 97864 142896 146796 195728 215489 293592 430978 587184 646467 861956 1292934 1723912 2585868 2801357 3447824 5171736 5602714 8404071 10343472 11205428 16808142 22410856 33616284 44821712 67232568 134465136