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133520500 = 2253972753
BaseRepresentation
bin1111111010101…
…01110001110100
3100022020112200201
413331111301310
5233140124000
621125450244
73210622411
oct775256164
9308215621
10133520500
1169406a23
1238870984
132187c019
1413a39108
15bac696a
hex7f55c74

133520500 has 48 divisors (see below), whose sum is σ = 294722064. Its totient is φ = 52838400.

The previous prime is 133520489. The next prime is 133520501. The reversal of 133520500 is 5025331.

It can be written as a sum of positive squares in 8 ways, for example, as 17656804 + 115863696 = 4202^2 + 10764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133520501) 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, 47124 + ... + 49876.

It is an arithmetic number, because the mean of its divisors is an integer number (6140043).

Almost surely, 2133520500 is an apocalyptic number.

133520500 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 133520500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147361032).

133520500 is an abundant number, since it is smaller than the sum of its proper divisors (161201564).

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

133520500 is a wasteful number, since it uses less digits than its factorization.

133520500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 133520500 is about 11555.1070959987. The cubic root of 133520500 is about 511.1118891328. Note that the first 3 decimals are identical.

Adding to 133520500 its reverse (5025331), we get a palindrome (138545831).

The spelling of 133520500 in words is "one hundred thirty-three million, five hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 125 194 250 388 485 500 970 1940 2425 2753 4850 5506 9700 11012 12125 13765 24250 27530 48500 55060 68825 137650 267041 275300 344125 534082 688250 1068164 1335205 1376500 2670410 5340820 6676025 13352050 26704100 33380125 66760250 133520500