131503456 has 48 divisors (see below), whose sum is σ = 301946400. Its totient is φ = 56353920.

The previous prime is 131503453. The next prime is 131503459. The reversal of 131503456 is 654305131.

It is an interprime number because it is at equal distance from previous prime (131503453) and next prime (131503459).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131503453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4986 + ... + 16966.

It is an arithmetic number, because the mean of its divisors is an integer number (6290550).

Almost surely, 2^131503456 is an apocalyptic number.

131503456 is a gapful number since it is divisible by the number (16) 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 131503456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150973200).

131503456 is an abundant number, since it is smaller than the sum of its proper divisors (170442944).

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

131503456 is an equidigital number, since it uses as much as digits as its factorization.

131503456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012 (or 11990 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 131503456 is about 11467.4956289506. The cubic root of 131503456 is about 508.5250941009.

Adding to 131503456 its reverse (654305131), we get a palindrome (785808587).

The spelling of 131503456 in words is "one hundred thirty-one million, five hundred three thousand, four hundred fifty-six".