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131525140 = 22527723741
BaseRepresentation
bin1111101011011…
…10101000010100
3100011111011120111
413311232220110
5232132301030
621015012404
73154642135
oct765565024
9304434514
10131525140
116827386a
123806a104
1321330a36
1413679c8c
15b83062a
hex7d6ea14

131525140 has 24 divisors (see below), whose sum is σ = 277211592. Its totient is φ = 52417920.

The previous prime is 131525071. The next prime is 131525143. The reversal of 131525140 is 41525131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30603024 + 100922116 = 5532^2 + 10046^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131525143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6331 + ... + 17410.

It is an arithmetic number, because the mean of its divisors is an integer number (11550483).

Almost surely, 2131525140 is an apocalyptic number.

131525140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131525140 is an abundant number, since it is smaller than the sum of its proper divisors (145686452).

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

131525140 is a wasteful number, since it uses less digits than its factorization.

131525140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24027 (or 24025 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 131525140 is about 11468.4410448849. The cubic root of 131525140 is about 508.5530433083.

Subtracting from 131525140 its reverse (41525131), we obtain a palindrome (90000009).

The spelling of 131525140 in words is "one hundred thirty-one million, five hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 23741 47482 94964 118705 237410 474820 6576257 13152514 26305028 32881285 65762570 131525140