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131825556 = 2235135623
BaseRepresentation
bin1111101101101…
…11111110010100
3100012001102200000
413312313332110
5232221404211
621025251300
73160333032
oct766677624
9305042600
10131825556
1168459545
1238193b30
13214076b5
1413717552
15b88e656
hex7db7f94

131825556 has 36 divisors (see below), whose sum is σ = 345569952. Its totient is φ = 43941528.

The previous prime is 131825549. The next prime is 131825557. The reversal of 131825556 is 655528131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131825556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131825557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66840 + ... + 68783.

Almost surely, 2131825556 is an apocalyptic number.

It is an amenable number.

131825556 is an abundant number, since it is smaller than the sum of its proper divisors (213744396).

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

131825556 is a wasteful number, since it uses less digits than its factorization.

131825556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135642 (or 135628 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 131825556 is about 11481.5310825691. The cubic root of 131825556 is about 508.9399434831.

The spelling of 131825556 in words is "one hundred thirty-one million, eight hundred twenty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 135623 271246 406869 542492 813738 1220607 1627476 2441214 3661821 4882428 7323642 10985463 14647284 21970926 32956389 43941852 65912778 131825556