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133125240 = 23355918803
BaseRepresentation
bin1111110111101…
…01010001111000
3100021111110111110
413323311101320
5233040001430
621113200320
73204355143
oct773652170
9307443443
10133125240
1169166a66
12387000a0
1321771141
141397505a
15ba497b0
hex7ef5478

133125240 has 64 divisors (see below), whose sum is σ = 406166400. Its totient is φ = 34896512.

The previous prime is 133125211. The next prime is 133125247. The reversal of 133125240 is 42521331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133125247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2322 + ... + 16481.

It is an arithmetic number, because the mean of its divisors is an integer number (6346350).

Almost surely, 2133125240 is an apocalyptic number.

133125240 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 133125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203083200).

133125240 is an abundant number, since it is smaller than the sum of its proper divisors (273041160).

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

133125240 is a wasteful number, since it uses less digits than its factorization.

133125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18876 (or 18872 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 133125240 is about 11537.9911596430. The cubic root of 133125240 is about 510.6070434047.

Adding to 133125240 its reverse (42521331), we get a palindrome (175646571).

The spelling of 133125240 in words is "one hundred thirty-three million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 18803 37606 56409 75212 94015 112818 150424 188030 225636 282045 376060 451272 564090 752120 1109377 1128180 2218754 2256360 3328131 4437508 5546885 6656262 8875016 11093770 13312524 16640655 22187540 26625048 33281310 44375080 66562620 133125240