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134141300 = 22529713829
BaseRepresentation
bin1111111111011…
…01010101110100
3100100102002021022
413333231111310
5233320010200
621151040312
73216116336
oct777552564
9310362238
10134141300
11697a0387
1238b10098
1321a38767
1413b5b456
15bb9a885
hex7fed574

134141300 has 36 divisors (see below), whose sum is σ = 294108780. Its totient is φ = 53099520.

The previous prime is 134141281. The next prime is 134141333. The reversal of 134141300 is 3141431.

It can be written as a sum of positive squares in 6 ways, for example, as 16679056 + 117462244 = 4084^2 + 10838^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2786 + ... + 16614.

Almost surely, 2134141300 is an apocalyptic number.

134141300 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 134141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147054390).

134141300 is an abundant number, since it is smaller than the sum of its proper divisors (159967480).

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

134141300 is a wasteful number, since it uses less digits than its factorization.

134141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13940 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 134141300 is about 11581.9385251347. The cubic root of 134141300 is about 511.9027983202.

Adding to 134141300 its reverse (3141431), we get a palindrome (137282731).

The spelling of 134141300 in words is "one hundred thirty-four million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 13829 27658 55316 69145 138290 276580 345725 691450 1341413 1382900 2682826 5365652 6707065 13414130 26828260 33535325 67070650 134141300