131296064 has 28 divisors (see below), whose sum is σ = 262432800. Its totient is φ = 65171328.

The previous prime is 131296037. The next prime is 131296069. The reversal of 131296064 is 460692131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 131296064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131296069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1517 + ... + 16275.

It is an arithmetic number, because the mean of its divisors is an integer number (9372600).

Almost surely, 2^131296064 is an apocalyptic number.

It is an amenable number.

131296064 is a deficient number, since it is larger than the sum of its proper divisors (131136736).

131296064 is a wasteful number, since it uses less digits than its factorization.

131296064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14910 (or 14900 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 131296064 is about 11458.4494588055. The cubic root of 131296064 is about 508.2576245097.

The spelling of 131296064 in words is "one hundred thirty-one million, two hundred ninety-six thousand, sixty-four".