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133139328 = 273749531
BaseRepresentation
bin1111110111110…
…00101110000000
3100021112011211020
413323320232000
5233040424303
621113345440
73204444210
oct773705600
9307464736
10133139328
1169176603
1238708280
132177768a
141397a240
15ba4da53
hex7ef8b80

133139328 has 64 divisors (see below), whose sum is σ = 404181120. Its totient is φ = 38039040.

The previous prime is 133139323. The next prime is 133139329. The reversal of 133139328 is 823931331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1331393283 (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 (133139323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22078 + ... + 27453.

It is an arithmetic number, because the mean of its divisors is an integer number (6315330).

Almost surely, 2133139328 is an apocalyptic number.

It is an amenable number.

133139328 is an abundant number, since it is smaller than the sum of its proper divisors (271041792).

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

133139328 is an equidigital number, since it uses as much as digits as its factorization.

133139328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49555 (or 49543 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 133139328 is about 11538.6016483801. The cubic root of 133139328 is about 510.6250544603.

The spelling of 133139328 in words is "one hundred thirty-three million, one hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 49531 99062 148593 198124 297186 346717 396248 594372 693434 792496 1040151 1188744 1386868 1584992 2080302 2377488 2773736 3169984 4160604 4754976 5547472 6339968 8321208 9509952 11094944 16642416 19019904 22189888 33284832 44379776 66569664 133139328