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135365490 = 232513127911
BaseRepresentation
bin10000001000110…
…00001101110010
3100102201021112200
420010120031302
5234123143430
621233204030
73232405401
oct1004301562
9312637480
10135365490
116a457107
1239400616
1322076a30
1413d99638
15bd3d460
hex8118372

135365490 has 96 divisors (see below), whose sum is σ = 382427136. Its totient is φ = 33022080.

The previous prime is 135365471. The next prime is 135365501. The reversal of 135365490 is 94563531.

135365490 is a `hidden beast` number, since 135 + 36 + 5 + 490 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148135 + ... + 149045.

It is an arithmetic number, because the mean of its divisors is an integer number (3983616).

Almost surely, 2135365490 is an apocalyptic number.

135365490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135365490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568).

135365490 is an abundant number, since it is smaller than the sum of its proper divisors (247061646).

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

135365490 is a wasteful number, since it uses less digits than its factorization.

135365490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 135365490 is about 11634.6675930170. The cubic root of 135365490 is about 513.4553143338.

The spelling of 135365490 in words is "one hundred thirty-five million, three hundred sixty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 127 130 195 234 254 381 390 585 635 762 911 1143 1170 1270 1651 1822 1905 2286 2733 3302 3810 4555 4953 5466 5715 8199 8255 9110 9906 11430 11843 13665 14859 16398 16510 23686 24765 27330 29718 35529 40995 49530 59215 71058 74295 81990 106587 115697 118430 148590 177645 213174 231394 347091 355290 532935 578485 694182 1041273 1065870 1156970 1504061 1735455 2082546 3008122 3470910 4512183 5206365 7520305 9024366 10412730 13536549 15040610 22560915 27073098 45121830 67682745 135365490