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131534500 = 2253503523
BaseRepresentation
bin1111101011100…
…00111010100100
3100011111122102011
413311300322210
5232133101000
621015124004
73155011336
oct765607244
9304448364
10131534500
116827a8a9
1238073604
1321335086
141367d456
15b8332ba
hex7d70ea4

131534500 has 48 divisors (see below), whose sum is σ = 288392832. Its totient is φ = 52408800.

The previous prime is 131534479. The next prime is 131534503. The reversal of 131534500 is 5435131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131534503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251239 + ... + 251761.

It is an arithmetic number, because the mean of its divisors is an integer number (6008184).

Almost surely, 2131534500 is an apocalyptic number.

131534500 is a gapful number since it is divisible by the number (10) 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 131534500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144196416).

131534500 is an abundant number, since it is smaller than the sum of its proper divisors (156858332).

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

131534500 is a wasteful number, since it uses less digits than its factorization.

131534500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 131534500 is about 11468.8491140131. The cubic root of 131534500 is about 508.5651067652.

Adding to 131534500 its reverse (5435131), we get a palindrome (136969631).

The spelling of 131534500 in words is "one hundred thirty-one million, five hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 503 523 1006 1046 2012 2092 2515 2615 5030 5230 10060 10460 12575 13075 25150 26150 50300 52300 62875 65375 125750 130750 251500 261500 263069 526138 1052276 1315345 2630690 5261380 6576725 13153450 26306900 32883625 65767250 131534500