131215168 has 56 divisors (see below), whose sum is σ = 299110400. Its totient is φ = 55945728.

The previous prime is 131215153. The next prime is 131215193. The reversal of 131215168 is 861512131.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101953 + ... + 103231.

Almost surely, 2^131215168 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 131215168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149555200).

131215168 is an abundant number, since it is smaller than the sum of its proper divisors (167895232).

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

131215168 is a wasteful number, since it uses less digits than its factorization.

131215168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its digits is 1440, while the sum is 28.

The square root of 131215168 is about 11454.9189434059. The cubic root of 131215168 is about 508.1532180897.

Adding to 131215168 its reverse (861512131), we get a palindrome (992727299).

The spelling of 131215168 in words is "one hundred thirty-one million, two hundred fifteen thousand, one hundred sixty-eight".