131512164 has 48 divisors (see below), whose sum is σ = 355654656. Its totient is φ = 37044000.

The previous prime is 131512163. The next prime is 131512207. The reversal of 131512164 is 461215131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131512163) 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 15 ways as a sum of consecutive naturals, for example, 5062 + ... + 16989.

It is an arithmetic number, because the mean of its divisors is an integer number (7409472).

Almost surely, 2^131512164 is an apocalyptic number.

131512164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131512164 is an abundant number, since it is smaller than the sum of its proper divisors (224142492).

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

131512164 is a wasteful number, since it uses less digits than its factorization.

131512164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22136 (or 22134 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 131512164 is about 11467.8753045191. The cubic root of 131512164 is about 508.5363184922.

Adding to 131512164 its reverse (461215131), we get a palindrome (592727295).

The spelling of 131512164 in words is "one hundred thirty-one million, five hundred twelve thousand, one hundred sixty-four".