Search a number
-
+
135245136 = 243131931123
BaseRepresentation
bin10000000111110…
…10110101010000
3100102111011110010
420003322311100
5234110321021
621230434520
73231364455
oct1003726520
9312434403
10135245136
116a384744
1239362a40
1322034010
1413d6782c
15bd17976
hex80fad50

135245136 has 80 divisors (see below), whose sum is σ = 378545216. Its totient is φ = 41361408.

The previous prime is 135245119. The next prime is 135245137. The reversal of 135245136 is 631542531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135245137) 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, 119871 + ... + 120993.

Almost surely, 2135245136 is an apocalyptic number.

135245136 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 135245136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189272608).

135245136 is an abundant number, since it is smaller than the sum of its proper divisors (243300080).

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

135245136 is a wasteful number, since it uses less digits than its factorization.

135245136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 135245136 is about 11629.4942280393. The cubic root of 135245136 is about 513.3030974864.

Adding to 135245136 its reverse (631542531), we get a palindrome (766787667).

The spelling of 135245136 in words is "one hundred thirty-five million, two hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 193 208 312 386 579 624 772 1123 1158 1544 2246 2316 2509 3088 3369 4492 4632 5018 6738 7527 8984 9264 10036 13476 14599 15054 17968 20072 26952 29198 30108 40144 43797 53904 58396 60216 87594 116792 120432 175188 216739 233584 350376 433478 650217 700752 866956 1300434 1733912 2600868 2817607 3467824 5201736 5635214 8452821 10403472 11270428 16905642 22540856 33811284 45081712 67622568 135245136