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131377125 = 3531131849
BaseRepresentation
bin1111101010010…
…10011111100101
3100011012122112110
413311022133211
5232113032000
621011511233
73153454455
oct765123745
9304178473
10131377125
1168182640
1237bb8519
13212ab559
141363bd65
15b801850
hex7d4a7e5

131377125 has 32 divisors (see below), whose sum is σ = 238492800. Its totient is φ = 63696000.

The previous prime is 131377123. The next prime is 131377157. The reversal of 131377125 is 521773131.

It is not a de Polignac number, because 131377125 - 21 = 131377123 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131377092 and 131377101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131377123) 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 31 ways as a sum of consecutive naturals, for example, 11800 + ... + 20049.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2131377125 is an apocalyptic number.

131377125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131377125 is a deficient number, since it is larger than the sum of its proper divisors (107115675).

131377125 is a wasteful number, since it uses less digits than its factorization.

131377125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31878 (or 31868 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 131377125 is about 11461.9860844445. The cubic root of 131377125 is about 508.3622008749.

The spelling of 131377125 in words is "one hundred thirty-one million, three hundred seventy-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 825 1375 4125 31849 95547 159245 350339 477735 796225 1051017 1751695 2388675 3981125 5255085 8758475 11943375 26275425 43792375 131377125