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135351568 = 24112151463
BaseRepresentation
bin10000001000101…
…00110100010000
3100102200120110001
420010110310100
5234122222233
621233015344
73232316662
oct1004246420
9312616401
10135351568
116a447700
12393b4554
13220705b1
1413d94532
15bd3927d
hex8114d10

135351568 has 60 divisors (see below), whose sum is σ = 290786944. Its totient is φ = 60984000.

The previous prime is 135351547. The next prime is 135351581. The reversal of 135351568 is 865153531.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292105 + ... + 292567.

Almost surely, 2135351568 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 135351568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145393472).

135351568 is an abundant number, since it is smaller than the sum of its proper divisors (155435376).

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

135351568 is a wasteful number, since it uses less digits than its factorization.

135351568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 627 counting only the distinct ones).

The product of its digits is 54000, while the sum is 37.

The square root of 135351568 is about 11634.0692794912. The cubic root of 135351568 is about 513.4377112013.

The spelling of 135351568 in words is "one hundred thirty-five million, three hundred fifty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 151 176 242 302 463 484 604 926 968 1208 1661 1852 1936 2416 3322 3704 5093 6644 7408 10186 13288 18271 20372 26576 36542 40744 56023 69913 73084 81488 112046 139826 146168 224092 279652 292336 448184 559304 769043 896368 1118608 1538086 3076172 6152344 8459473 12304688 16918946 33837892 67675784 135351568