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131725637 = 1375091889
BaseRepresentation
bin1111101100111…
…11100101000101
3100011212100121022
413312133211011
5232210210022
621023200525
73156435521
oct766374505
9304770538
10131725637
11683a046a
1238146145
13213a1084
14136ccd81
15b86ec42
hex7d9f945

131725637 has 8 divisors (see below), whose sum is σ = 133018200. Its totient is φ = 130438144.

The previous prime is 131725621. The next prime is 131725681. The reversal of 131725637 is 736527131.

It can be written as a sum of positive squares in 4 ways, for example, as 41589601 + 90136036 = 6449^2 + 9494^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131725637 - 24 = 131725621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131725597 and 131725606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131725837) 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, 68789 + ... + 70677.

It is an arithmetic number, because the mean of its divisors is an integer number (16627275).

Almost surely, 2131725637 is an apocalyptic number.

It is an amenable number.

131725637 is a deficient number, since it is larger than the sum of its proper divisors (1292563).

131725637 is a wasteful number, since it uses less digits than its factorization.

131725637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535.

The product of its digits is 26460, while the sum is 35.

The square root of 131725637 is about 11477.1789652336. The cubic root of 131725637 is about 508.8113249629.

The spelling of 131725637 in words is "one hundred thirty-one million, seven hundred twenty-five thousand, six hundred thirty-seven".

Divisors: 1 137 509 1889 69733 258793 961501 131725637