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133137780 = 22357131253
BaseRepresentation
bin1111110111110…
…00010101110100
3100021112002200220
413323320111310
5233040402110
621113334340
73204436536
oct773702564
9307462626
10133137780
1169175426
12387073b0
1321776a69
1413979856
15ba4d370
hex7ef8574

133137780 has 48 divisors (see below), whose sum is σ = 378048384. Its totient is φ = 35002240.

The previous prime is 133137779. The next prime is 133137787. The reversal of 133137780 is 87731331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133137787) 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, 11367 + ... + 19886.

It is an arithmetic number, because the mean of its divisors is an integer number (7876008).

Almost surely, 2133137780 is an apocalyptic number.

133137780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133137780 is an abundant number, since it is smaller than the sum of its proper divisors (244910604).

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

133137780 is a wasteful number, since it uses less digits than its factorization.

133137780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31336 (or 31334 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 133137780 is about 11538.5345689997. The cubic root of 133137780 is about 510.6230754542.

The spelling of 133137780 in words is "one hundred thirty-three million, one hundred thirty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 31253 62506 93759 125012 156265 187518 312530 375036 468795 625060 937590 1875180 2218963 4437926 6656889 8875852 11094815 13313778 22189630 26627556 33284445 44379260 66568890 133137780