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135245568 = 283229769
BaseRepresentation
bin10000000111110…
…10111100000000
3100102111012001010
420003322330000
5234110324233
621230440520
73231365643
oct1003727400
9312435033
10135245568
116a384aa7
1239363140
1322034283
1413d67a5a
15bd17b63
hex80faf00

135245568 has 72 divisors (see below), whose sum is σ = 361992400. Its totient is φ = 44826624.

The previous prime is 135245563. The next prime is 135245573. The reversal of 135245568 is 865542531.

It is an interprime number because it is at equal distance from previous prime (135245563) and next prime (135245573).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135245563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175488 + ... + 176256.

Almost surely, 2135245568 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 135245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180996200).

135245568 is an abundant number, since it is smaller than the sum of its proper divisors (226746832).

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

135245568 is an equidigital number, since it uses as much as digits as its factorization.

135245568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1003 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 135245568 is about 11629.5128014891. The cubic root of 135245568 is about 513.3036440167.

The spelling of 135245568 in words is "one hundred thirty-five million, two hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 384 458 687 768 769 916 1374 1538 1832 2307 2748 3076 3664 4614 5496 6152 7328 9228 10992 12304 14656 18456 21984 24608 29312 36912 43968 49216 58624 73824 87936 98432 147648 175872 176101 196864 295296 352202 528303 590592 704404 1056606 1408808 2113212 2817616 4226424 5635232 8452848 11270464 16905696 22540928 33811392 45081856 67622784 135245568