131028480 has 360 divisors, whose sum is σ = 509404896. Its totient is φ = 31088640.

The previous prime is 131028461. The next prime is 131028481. The reversal of 131028480 is 84820131.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×131028480² = 34336925142220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131028481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2787817 + ... + 2787863.

Almost surely, 2^131028480 is an apocalyptic number.

131028480 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 131028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254702448).

131028480 is an abundant number, since it is smaller than the sum of its proper divisors (378376416).

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

131028480 is a wasteful number, since it uses less digits than its factorization.

131028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 131028480 is about 11446.7672292224. The cubic root of 131028480 is about 507.9121099524.

The spelling of 131028480 in words is "one hundred thirty-one million, twenty-eight thousand, four hundred eighty".