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134248600 = 23523159367
BaseRepresentation
bin10000000000001…
…11100010011000
3100100121112110101
420000013202120
5233331423400
621153225144
73220044223
oct1000074230
9310545411
10134248600
1169863a62
1238b621b4
1321a75555
1413b885ba
15bbbc56a
hex8007898

134248600 has 96 divisors (see below), whose sum is σ = 328550400. Its totient is φ = 50947200.

The previous prime is 134248589. The next prime is 134248603. The reversal of 134248600 is 6842431.

It is a super-3 number, since 3×1342486003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134248603) 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, 365617 + ... + 365983.

It is an arithmetic number, because the mean of its divisors is an integer number (3422400).

Almost surely, 2134248600 is an apocalyptic number.

134248600 is a gapful number since it is divisible by the number (10) 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 134248600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164275200).

134248600 is an abundant number, since it is smaller than the sum of its proper divisors (194301800).

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

134248600 is a wasteful number, since it uses less digits than its factorization.

134248600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 134248600 is about 11586.5698116397. The cubic root of 134248600 is about 512.0392527686.

The spelling of 134248600 in words is "one hundred thirty-four million, two hundred forty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 59 62 100 118 124 155 200 236 248 295 310 367 472 590 620 734 775 1180 1240 1468 1475 1550 1829 1835 2360 2936 2950 3100 3658 3670 5900 6200 7316 7340 9145 9175 11377 11800 14632 14680 18290 18350 21653 22754 36580 36700 43306 45508 45725 56885 73160 73400 86612 91016 91450 108265 113770 173224 182900 216530 227540 284425 365800 433060 455080 541325 568850 671243 866120 1082650 1137700 1342486 2165300 2275400 2684972 3356215 4330600 5369944 6712430 13424860 16781075 26849720 33562150 67124300 134248600