131530464 has 216 divisors, whose sum is σ = 434102760. Its totient is φ = 37449216.

The previous prime is 131530459. The next prime is 131530481. The reversal of 131530464 is 464035131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3058827 + ... + 3058869.

It is an arithmetic number, because the mean of its divisors is an integer number (2009735).

Almost surely, 2^131530464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131530464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217051380).

131530464 is an abundant number, since it is smaller than the sum of its proper divisors (302572296).

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

131530464 is a wasteful number, since it uses less digits than its factorization.

131530464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 131530464 is about 11468.6731577807. The cubic root of 131530464 is about 508.5599051140.

Adding to 131530464 its reverse (464035131), we get a palindrome (595565595).

The spelling of 131530464 in words is "one hundred thirty-one million, five hundred thirty thousand, four hundred sixty-four".