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133144352 = 25113710223
BaseRepresentation
bin1111110111110…
…01111100100000
3100021112102201022
413323321330200
5233041104402
621113425012
73204464645
oct773717440
9307472638
10133144352
116917a360
123870b168
1321779a53
141397bdcc
15ba502a2
hex7ef9f20

133144352 has 48 divisors (see below), whose sum is σ = 293715072. Its totient is φ = 58878720.

The previous prime is 133144351. The next prime is 133144379. The reversal of 133144352 is 253441331.

133144352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133144351) 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 7 ways as a sum of consecutive naturals, for example, 7913 + ... + 18135.

It is an arithmetic number, because the mean of its divisors is an integer number (6119064).

Almost surely, 2133144352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146857536).

133144352 is an abundant number, since it is smaller than the sum of its proper divisors (160570720).

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

133144352 is a wasteful number, since it uses less digits than its factorization.

133144352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10281 (or 10273 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 133144352 is about 11538.8193503495. The cubic root of 133144352 is about 510.6314771756.

Adding to 133144352 its reverse (253441331), we get a palindrome (386585683).

The spelling of 133144352 in words is "one hundred thirty-three million, one hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 3256 6512 10223 13024 20446 40892 81784 112453 163568 224906 327136 378251 449812 756502 899624 1513004 1799248 3026008 3598496 4160761 6052016 8321522 12104032 16643044 33286088 66572176 133144352