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131545204 = 2272897541
BaseRepresentation
bin1111101011100…
…11100001110100
3100011112012002121
413311303201310
5232133421304
621015245324
73155054500
oct765634164
9304465077
10131545204
116828794a
1238079844
1321339bcb
1413683300
15b836554
hex7d73874

131545204 has 36 divisors (see below), whose sum is σ = 270833220. Its totient is φ = 55735680.

The previous prime is 131545199. The next prime is 131545217. The reversal of 131545204 is 402545131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19820304 + 111724900 = 4452^2 + 10570^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13674 + ... + 21214.

It is an arithmetic number, because the mean of its divisors is an integer number (7523145).

Almost surely, 2131545204 is an apocalyptic number.

131545204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131545204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135416610).

131545204 is an abundant number, since it is smaller than the sum of its proper divisors (139288016).

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

131545204 is a wasteful number, since it uses less digits than its factorization.

131545204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 131545204 is about 11469.3157598873. The cubic root of 131545204 is about 508.5789017093.

The spelling of 131545204 in words is "one hundred thirty-one million, five hundred forty-five thousand, two hundred four".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 2492 4361 7541 8722 15082 17444 30164 52787 105574 211148 369509 671149 739018 1342298 1478036 2684596 4698043 9396086 18792172 32886301 65772602 131545204