131264464 has 40 divisors (see below), whose sum is σ = 272795040. Its totient is φ = 60997248.

The previous prime is 131264461. The next prime is 131264479. The reversal of 131264464 is 464462131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131264461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12039 + ... + 20185.

It is an arithmetic number, because the mean of its divisors is an integer number (6819876).

Almost surely, 2^131264464 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 131264464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136397520).

131264464 is an abundant number, since it is smaller than the sum of its proper divisors (141530576).

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

131264464 is a wasteful number, since it uses less digits than its factorization.

131264464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8221 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 131264464 is about 11457.0704807119. The cubic root of 131264464 is about 508.2168458575.

The spelling of 131264464 in words is "one hundred thirty-one million, two hundred sixty-four thousand, four hundred sixty-four".