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130 (number)

130 (one hundred [and] thirty) is the natural number following 129 and preceding 131.

In mathematics

130 is a sphenic number. It is a noncototient since there is no answer to the equation x - φ(x) = 130.

130 is the only integer that is the sum of the squares of its first four divisors, including 1: 1<sup>2</sup> + 2<sup>2</sup> + 5<sup>2</sup> + 10<sup>2</sup> = 130.

130 is the largest number that cannot be written as the sum of four hexagonal numbers.

130 equals both 2<sup>7</sup> + 2 and 5<sup>3</sup> + 5 and is therefore a doubly strictly number.

There is no value between 130 and 4 × 130 = 520, such that 2<sup>n</sup> − 1, the nth Mersenne number, is prime. As of February 2026, 130 is the largest known integer with this property.

In other fields

  • A 130-30 fund or a ratio up to 150/50 is a type of collective investment vehicle

References