131459328 has 576 divisors, whose sum is σ = 549427200. Its totient is φ = 29859840.

The previous prime is 131459327. The next prime is 131459353. The reversal of 131459328 is 823954131.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131459292 and 131459301.

It is not an unprimeable number, because it can be changed into a prime (131459323) 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 63 ways as a sum of consecutive naturals, for example, 6918903 + ... + 6918921.

Almost surely, 2^131459328 is an apocalyptic number.

131459328 is a gapful number since it is divisible by the number (18) 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 131459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274713600).

131459328 is an abundant number, since it is smaller than the sum of its proper divisors (417967872).

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

131459328 is a wasteful number, since it uses less digits than its factorization.

131459328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 131459328 is about 11465.5714205616. The cubic root of 131459328 is about 508.4682066077.

The spelling of 131459328 in words is "one hundred thirty-one million, four hundred fifty-nine thousand, three hundred twenty-eight".