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131377500 = 2232545839
BaseRepresentation
bin1111101010010…
…10100101011100
3100011012200001100
413311022211130
5232113040000
621011513100
73153455532
oct765124534
9304180040
10131377500
1168182951
1237bb8790
13212ab787
141363c152
15b801a00
hex7d4a95c

131377500 has 90 divisors (see below), whose sum is σ = 415054640. Its totient is φ = 35028000.

The previous prime is 131377429. The next prime is 131377501. The reversal of 131377500 is 5773131.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131377501) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19581 + ... + 25419.

Almost surely, 2131377500 is an apocalyptic number.

131377500 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 131377500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207527320).

131377500 is an abundant number, since it is smaller than the sum of its proper divisors (283677140).

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

131377500 is a wasteful number, since it uses less digits than its factorization.

131377500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 131377500 is about 11462.0024428544. The cubic root of 131377500 is about 508.3626845604.

The spelling of 131377500 in words is "one hundred thirty-one million, three hundred seventy-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 5839 7500 11250 11678 17517 22500 23356 29195 35034 52551 58390 70068 87585 105102 116780 145975 175170 210204 262755 291950 350340 437925 525510 583900 729875 875850 1051020 1313775 1459750 1751700 2189625 2627550 2919500 3649375 4379250 5255100 6568875 7298750 8758500 10948125 13137750 14597500 21896250 26275500 32844375 43792500 65688750 131377500