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135114364 = 227211292161
BaseRepresentation
bin10000000110110…
…10111001111100
3100102020112001201
420003122321330
5234042124424
621223545244
73230311300
oct1003327174
9312215051
10135114364
116a2a5470
12392bb224
1321cb9638
1413d31d00
15bcddd44
hex80dae7c

135114364 has 72 divisors (see below), whose sum is σ = 310549680. Its totient is φ = 50803200.

The previous prime is 135114361. The next prime is 135114373. The reversal of 135114364 is 463411531.

135114364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135114361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61444 + ... + 63604.

It is an arithmetic number, because the mean of its divisors is an integer number (4313190).

Almost surely, 2135114364 is an apocalyptic number.

135114364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135114364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155274840).

135114364 is an abundant number, since it is smaller than the sum of its proper divisors (175435316).

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

135114364 is a wasteful number, since it uses less digits than its factorization.

135114364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2210 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 135114364 is about 11623.8704397460. The cubic root of 135114364 is about 513.1376021459.

Adding to 135114364 its reverse (463411531), we get a palindrome (598525895).

The spelling of 135114364 in words is "one hundred thirty-five million, one hundred fourteen thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 98 116 154 196 203 308 319 406 539 638 812 1078 1276 1421 2156 2161 2233 2842 4322 4466 5684 8644 8932 15127 15631 23771 30254 31262 47542 60508 62524 62669 95084 105889 125338 166397 211778 250676 332794 423556 438683 665588 689359 877366 1164779 1378718 1754732 2329558 2757436 3070781 4659116 4825513 6141562 9651026 12283124 19302052 33778591 67557182 135114364