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135034368 = 293719661
BaseRepresentation
bin10000000110001…
…11011000000000
3100102002110022220
420003013120000
5234032044433
621222131040
73226526130
oct1003073000
9312073286
10135034368
116a250357
1239280a80
1321c8c0c1
1413d10ac0
15bcc52b3
hex80c7600

135034368 has 160 divisors (see below), whose sum is σ = 433424640. Its totient is φ = 36495360.

The previous prime is 135034327. The next prime is 135034369. The reversal of 135034368 is 863430531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135034369) 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, 203958 + ... + 204618.

It is an arithmetic number, because the mean of its divisors is an integer number (2708904).

Almost surely, 2135034368 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 135034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216712320).

135034368 is an abundant number, since it is smaller than the sum of its proper divisors (298390272).

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

135034368 is an equidigital number, since it uses as much as digits as its factorization.

135034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 692 counting only the distinct ones).

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

The square root of 135034368 is about 11620.4289077469. The cubic root of 135034368 is about 513.0363124971.

Adding to 135034368 its reverse (863430531), we get a palindrome (998464899).

It can be divided in two parts, 13503 and 4368, that added together give a palindrome (17871).

The spelling of 135034368 in words is "one hundred thirty-five million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 661 672 768 798 896 912 1064 1216 1322 1344 1536 1596 1792 1824 1983 2128 2432 2644 2688 3192 3584 3648 3966 4256 4627 4864 5288 5376 6384 7296 7932 8512 9254 9728 10576 10752 12559 12768 13881 14592 15864 17024 18508 21152 25118 25536 27762 29184 31728 34048 37016 37677 42304 50236 51072 55524 63456 68096 74032 75354 84608 87913 100472 102144 111048 126912 148064 150708 169216 175826 200944 204288 222096 253824 263739 296128 301416 338432 351652 401888 444192 507648 527478 592256 602832 703304 803776 888384 1015296 1054956 1184512 1205664 1406608 1607552 1776768 2109912 2369024 2411328 2813216 3215104 3553536 4219824 4822656 5626432 6430208 7107072 8439648 9645312 11252864 16879296 19290624 22505728 33758592 45011456 67517184 135034368