131114564 has 48 divisors (see below), whose sum is σ = 268966656. Its totient is φ = 54768000.

The previous prime is 131114561. The next prime is 131114567. The reversal of 131114564 is 465411131.

It is an interprime number because it is at equal distance from previous prime (131114561) and next prime (131114567).

It is not an unprimeable number, because it can be changed into a prime (131114561) 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, 200462 + ... + 201114.

It is an arithmetic number, because the mean of its divisors is an integer number (5603472).

Almost surely, 2^131114564 is an apocalyptic number.

131114564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131114564 is an abundant number, since it is smaller than the sum of its proper divisors (137852092).

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

131114564 is a wasteful number, since it uses less digits than its factorization.

131114564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 834 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 131114564 is about 11450.5268001084. The cubic root of 131114564 is about 508.0233161431.

Adding to 131114564 its reverse (465411131), we get a palindrome (596525695).

The spelling of 131114564 in words is "one hundred thirty-one million, one hundred fourteen thousand, five hundred sixty-four".