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133144506 = 23311224149
BaseRepresentation
bin1111110111110…
…01111110111010
3100021112102221000
413323321332322
5233041111011
621113425430
73204465255
oct773717672
9307472830
10133144506
116917a490
123870b276
1321779b41
141397c09c
15ba50356
hex7ef9fba

133144506 has 32 divisors (see below), whose sum is σ = 322776000. Its totient is φ = 40346640.

The previous prime is 133144499. The next prime is 133144513. The reversal of 133144506 is 605441331.

133144506 is a `hidden beast` number, since 13 + 3 + 144 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (133144499) and next prime (133144513).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 133144506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111481 + ... + 112668.

It is an arithmetic number, because the mean of its divisors is an integer number (10086750).

Almost surely, 2133144506 is an apocalyptic number.

133144506 is an abundant number, since it is smaller than the sum of its proper divisors (189631494).

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

133144506 is a wasteful number, since it uses less digits than its factorization.

133144506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224171 (or 224165 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133144506 is about 11538.8260234740. The cubic root of 133144506 is about 510.6316740477.

Adding to 133144506 its reverse (605441331), we get a palindrome (738585837).

The spelling of 133144506 in words is "one hundred thirty-three million, one hundred forty-four thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 224149 448298 672447 1344894 2017341 2465639 4034682 4931278 6052023 7396917 12104046 14793834 22190751 44381502 66572253 133144506