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131520135 = 35311132503
BaseRepresentation
bin1111101011011…
…01011010000111
3100011110220201010
413311231122013
5232132121020
621014533303
73154621425
oct765553207
9304426633
10131520135
116827002a
1238067233
132132b686
1413678115
15b82dde0
hex7d6d687

131520135 has 32 divisors (see below), whose sum is σ = 219230208. Its totient is φ = 67253760.

The previous prime is 131520127. The next prime is 131520149. The reversal of 131520135 is 531025131.

It is not a de Polignac number, because 131520135 - 23 = 131520127 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 51294 + ... + 53796.

It is an arithmetic number, because the mean of its divisors is an integer number (6850944).

Almost surely, 2131520135 is an apocalyptic number.

131520135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131520135 is a deficient number, since it is larger than the sum of its proper divisors (87710073).

131520135 is a wasteful number, since it uses less digits than its factorization.

131520135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 131520135 is about 11468.2228352958. Note that the first 3 decimals coincide. The cubic root of 131520135 is about 508.5465924750.

Adding to 131520135 its reverse (531025131), we get a palindrome (662545266).

The spelling of 131520135 in words is "one hundred thirty-one million, five hundred twenty thousand, one hundred thirty-five".

Divisors: 1 3 5 15 31 93 113 155 339 465 565 1695 2503 3503 7509 10509 12515 17515 37545 52545 77593 232779 282839 387965 848517 1163895 1414195 4242585 8768009 26304027 43840045 131520135