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135114304 = 2613251647
BaseRepresentation
bin10000000110110…
…10111001000000
3100102020111222111
420003122321000
5234042124204
621223545104
73230311153
oct1003327100
9312214874
10135114304
116a2a5416
12392bb194
1321cb95c0
1413d31c9a
15bcddd04
hex80dae40

135114304 has 56 divisors (see below), whose sum is σ = 290340288. Its totient is φ = 62016000.

The previous prime is 135114293. The next prime is 135114319. The reversal of 135114304 is 403411531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208509 + ... + 209155.

It is an arithmetic number, because the mean of its divisors is an integer number (5184648).

Almost surely, 2135114304 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 135114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145170144).

135114304 is an abundant number, since it is smaller than the sum of its proper divisors (155225984).

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

135114304 is a wasteful number, since it uses less digits than its factorization.

135114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 135114304 is about 11623.8678588497. The cubic root of 135114304 is about 513.1375261899.

Adding to 135114304 its reverse (403411531), we get a palindrome (538525835).

The spelling of 135114304 in words is "one hundred thirty-five million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 251 416 502 647 832 1004 1294 2008 2588 3263 4016 5176 6526 8032 8411 10352 13052 16064 16822 20704 26104 33644 41408 52208 67288 104416 134576 162397 208832 269152 324794 538304 649588 1299176 2111161 2598352 4222322 5196704 8444644 10393408 16889288 33778576 67557152 135114304