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131590145 = 546157089
BaseRepresentation
bin1111101011111…
…10100000000001
3100011121110202002
413311332200001
5232141341040
621020233345
73155332511
oct765764001
9304543662
10131590145
1168308695
123809b855
13213544bb
1413695841
15b844a15
hex7d7e801

131590145 has 8 divisors (see below), whose sum is σ = 158253480. Its totient is φ = 105041920.

The previous prime is 131590127. The next prime is 131590157. The reversal of 131590145 is 541095131.

It can be written as a sum of positive squares in 4 ways, for example, as 4734976 + 126855169 = 2176^2 + 11263^2 .

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

It is not a de Polignac number, because 131590145 - 28 = 131589889 is a prime.

It is a super-3 number, since 3×1315901453 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26240 + ... + 30849.

It is an arithmetic number, because the mean of its divisors is an integer number (19781685).

Almost surely, 2131590145 is an apocalyptic number.

It is an amenable number.

131590145 is a deficient number, since it is larger than the sum of its proper divisors (26663335).

131590145 is an equidigital number, since it uses as much as digits as its factorization.

131590145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57555.

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 131590145 is about 11471.2747765887. The cubic root of 131590145 is about 508.6368119470.

The spelling of 131590145 in words is "one hundred thirty-one million, five hundred ninety thousand, one hundred forty-five".

Divisors: 1 5 461 2305 57089 285445 26318029 131590145