131367168 has 216 divisors, whose sum is σ = 411972288. Its totient is φ = 40144896.

The previous prime is 131367167. The next prime is 131367179. The reversal of 131367168 is 861763131.

131367168 is a `hidden beast` number, since 131 + 367 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131367167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1960671 + ... + 1960737.

Almost surely, 2^131367168 is an apocalyptic number.

131367168 is a gapful number since it is divisible by the number (18) 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 131367168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205986144).

131367168 is an abundant number, since it is smaller than the sum of its proper divisors (280605120).

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

131367168 is a wasteful number, since it uses less digits than its factorization.

131367168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 131367168 is about 11461.5517274058. The cubic root of 131367168 is about 508.3493577199.

The spelling of 131367168 in words is "one hundred thirty-one million, three hundred sixty-seven thousand, one hundred sixty-eight".