131587064 has 64 divisors (see below), whose sum is σ = 293222400. Its totient is φ = 54172800.

The previous prime is 131587037. The next prime is 131587067. The reversal of 131587064 is 460785131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131587067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397379 + ... + 397709.

It is an arithmetic number, because the mean of its divisors is an integer number (4581600).

Almost surely, 2^131587064 is an apocalyptic number.

131587064 is a gapful number since it is divisible by the number (14) 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 131587064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146611200).

131587064 is an abundant number, since it is smaller than the sum of its proper divisors (161635336).

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

131587064 is a wasteful number, since it uses less digits than its factorization.

131587064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 131587064 is about 11471.1404838403. The cubic root of 131587064 is about 508.6328422418.

The spelling of 131587064 in words is "one hundred thirty-one million, five hundred eighty-seven thousand, sixty-four".