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131266144 = 256167247
BaseRepresentation
bin1111101001011…
…11011001100000
3100011000000022001
413310233121200
5232101004034
621005253344
73152513062
oct764573140
9304000261
10131266144
1168107219
1237b64254
132126cb99
141360d732
15b7cda14
hex7d2f660

131266144 has 24 divisors (see below), whose sum is σ = 262670688. Its totient is φ = 64556160.

The previous prime is 131266141. The next prime is 131266207. The reversal of 131266144 is 441662131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131266141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31672 + ... + 35575.

It is an arithmetic number, because the mean of its divisors is an integer number (10944612).

Almost surely, 2131266144 is an apocalyptic number.

It is an amenable number.

131266144 is an abundant number, since it is smaller than the sum of its proper divisors (131404544).

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

131266144 is an equidigital number, since it uses as much as digits as its factorization.

131266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67318 (or 67310 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 131266144 is about 11457.1437976487. The cubic root of 131266144 is about 508.2190140012.

The spelling of 131266144 in words is "one hundred thirty-one million, two hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 67247 134494 268988 537976 1075952 2151904 4102067 8204134 16408268 32816536 65633072 131266144