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135091160 = 23547181397
BaseRepresentation
bin10000000110101…
…01001111011000
3100102012100020022
420003111033120
5234040404120
621223250012
73230153531
oct1003251730
9312170208
10135091160
116a289a96
12392a9908
1321cabbc9
1413d27688
15bcd7025
hex80d53d8

135091160 has 64 divisors (see below), whose sum is σ = 312923520. Its totient is φ = 52462080.

The previous prime is 135091157. The next prime is 135091169. The reversal of 135091160 is 61190531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135091169) 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, 340082 + ... + 340478.

It is an arithmetic number, because the mean of its divisors is an integer number (4889430).

Almost surely, 2135091160 is an apocalyptic number.

135091160 is a gapful number since it is divisible by the number (10) 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 135091160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156461760).

135091160 is an abundant number, since it is smaller than the sum of its proper divisors (177832360).

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

135091160 is a wasteful number, since it uses less digits than its factorization.

135091160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 135091160 is about 11622.8722784000. The cubic root of 135091160 is about 513.1082257317.

The spelling of 135091160 in words is "one hundred thirty-five million, ninety-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 181 188 235 362 376 397 470 724 794 905 940 1448 1588 1810 1880 1985 3176 3620 3970 7240 7940 8507 15880 17014 18659 34028 37318 42535 68056 71857 74636 85070 93295 143714 149272 170140 186590 287428 340280 359285 373180 574856 718570 746360 1437140 2874280 3377279 6754558 13509116 16886395 27018232 33772790 67545580 135091160