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135178968 = 23317418081
BaseRepresentation
bin10000000111010…
…10101011011000
3100102100210200110
420003222223120
5234101211333
621225204320
73231000531
oct1003525330
9312323613
10135178968
116a339a61
12393306a0
132200cb72
1413d4b688
15bd03063
hex80eaad8

135178968 has 64 divisors (see below), whose sum is σ = 366599520. Its totient is φ = 41369600.

The previous prime is 135178963. The next prime is 135178969. The reversal of 135178968 is 869871531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135178963) 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, 12688 + ... + 20768.

Almost surely, 2135178968 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 135178968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183299760).

135178968 is an abundant number, since it is smaller than the sum of its proper divisors (231420552).

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

135178968 is a wasteful number, since it uses less digits than its factorization.

135178968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8148 (or 8144 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 135178968 is about 11626.6490443292. The cubic root of 135178968 is about 513.2193735147.

The spelling of 135178968 in words is "one hundred thirty-five million, one hundred seventy-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 984 1394 2091 2788 4182 5576 8081 8364 16162 16728 24243 32324 48486 64648 96972 137377 193944 274754 331321 412131 549508 662642 824262 993963 1099016 1325284 1648524 1987926 2650568 3297048 3975852 5632457 7951704 11264914 16897371 22529828 33794742 45059656 67589484 135178968