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133144110 = 232511134489
BaseRepresentation
bin1111110111110…
…01111000101110
3100021112102101100
413323321320232
5233041102420
621113423530
73204464151
oct773717056
9307472340
10133144110
116917a160
123870aba6
13217798c8
141397bc98
15ba50190
hex7ef9e2e

133144110 has 48 divisors (see below), whose sum is σ = 377647920. Its totient is φ = 32277120.

The previous prime is 133144073. The next prime is 133144129. The reversal of 133144110 is 11441331.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66255 + ... + 68234.

It is an arithmetic number, because the mean of its divisors is an integer number (7867665).

Almost surely, 2133144110 is an apocalyptic number.

133144110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133144110 is an abundant number, since it is smaller than the sum of its proper divisors (244503810).

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

133144110 is a wasteful number, since it uses less digits than its factorization.

133144110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134513 (or 134510 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 133144110 is about 11538.8088640033. The cubic root of 133144110 is about 510.6311678049.

Adding to 133144110 its reverse (11441331), we get a palindrome (144585441).

It can be divided in two parts, 13314 and 4110, that added together give a square (17424 = 1322).

The spelling of 133144110 in words is "one hundred thirty-three million, one hundred forty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 134489 268978 403467 672445 806934 1210401 1344890 1479379 2017335 2420802 2958758 4034670 4438137 6052005 7396895 8876274 12104010 13314411 14793790 22190685 26628822 44381370 66572055 133144110