131864064 has 60 divisors (see below), whose sum is σ = 352497156. Its totient is φ = 43804672.

The previous prime is 131864063. The next prime is 131864099. The reversal of 131864064 is 460468131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131864063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 449902 + ... + 450194.

Almost surely, 2^131864064 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 131864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176248578).

131864064 is an abundant number, since it is smaller than the sum of its proper divisors (220633092).

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

131864064 is an frugal number, since it uses more digits than its factorization.

131864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 131864064 is about 11483.2079141675. The cubic root of 131864064 is about 508.9894947030.

Multiplying 131864064 by its product of nonzero digits (13824), we get a square (1822888820736 = 1350144²).

The spelling of 131864064 in words is "one hundred thirty-one million, eight hundred sixty-four thousand, sixty-four".