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133144152 = 2337397507
BaseRepresentation
bin1111110111110…
…01111001011000
3100021112102102220
413323321321120
5233041103102
621113424040
73204464241
oct773717130
9307472386
10133144152
116917a199
123870b020
132177992b
141397bcc8
15ba501bc
hex7ef9e58

133144152 has 32 divisors (see below), whose sum is σ = 333355200. Its totient is φ = 44315424.

The previous prime is 133144147. The next prime is 133144169. The reversal of 133144152 is 251441331.

It is a happy number.

133144152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13983 + ... + 21489.

It is an arithmetic number, because the mean of its divisors is an integer number (10417350).

Almost surely, 2133144152 is an apocalyptic number.

133144152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133144152 is an abundant number, since it is smaller than the sum of its proper divisors (200211048).

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

133144152 is a wasteful number, since it uses less digits than its factorization.

133144152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8255 (or 8251 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 133144152 is about 11538.8106839483. The cubic root of 133144152 is about 510.6312214974.

Adding to 133144152 its reverse (251441331), we get a palindrome (384585483).

The spelling of 133144152 in words is "one hundred thirty-three million, one hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 739 1478 2217 2956 4434 5912 7507 8868 15014 17736 22521 30028 45042 60056 90084 180168 5547673 11095346 16643019 22190692 33286038 44381384 66572076 133144152