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133030134 = 233171929263
BaseRepresentation
bin1111110110111…
…10000011110110
3100021022122001000
413323132003312
5233023431014
621111144130
73203510646
oct773360366
9307278030
10133030134
1169101566
1238675046
1321739a73
141394c526
15ba2b509
hex7ede0f6

133030134 has 128 divisors (see below), whose sum is σ = 342144000. Its totient is φ = 38029824.

The previous prime is 133030127. The next prime is 133030141. The reversal of 133030134 is 431030331.

133030134 is a `hidden beast` number, since 1 + 330 + 301 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (133030127) and next prime (133030141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505687 + ... + 505949.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 2133030134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133030134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072000).

133030134 is an abundant number, since it is smaller than the sum of its proper divisors (209113866).

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

133030134 is a wasteful number, since it uses less digits than its factorization.

133030134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133030134 is about 11533.8689952678. The cubic root of 133030134 is about 510.4854201814.

Adding to 133030134 its reverse (431030331), we get a palindrome (564060465).

The spelling of 133030134 in words is "one hundred thirty-three million, thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 27 29 34 38 51 54 57 58 87 102 114 153 171 174 261 263 306 323 342 459 493 513 522 526 551 646 783 789 918 969 986 1026 1102 1479 1566 1578 1653 1938 2367 2907 2958 3306 4437 4471 4734 4959 4997 5814 7101 7627 8721 8874 8942 9367 9918 9994 13311 13413 14202 14877 14991 15254 17442 18734 22881 26622 26826 28101 29754 29982 40239 44973 45762 56202 68643 80478 84303 84949 89946 120717 129659 134919 137286 144913 168606 169898 205929 241434 252909 254847 259318 269838 289826 388977 411858 434739 505818 509694 764541 777954 869478 1166931 1304217 1529082 2293623 2333862 2463521 2608434 3500793 3912651 4587246 4927042 7001586 7390563 7825302 14781126 22171689 44343378 66515067 133030134