131079168 has 176 divisors, whose sum is σ = 424465920. Its totient is φ = 39628800.

The previous prime is 131079121. The next prime is 131079181. The reversal of 131079168 is 861970131.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303913 + ... + 304343.

Almost surely, 2^131079168 is an apocalyptic number.

131079168 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 131079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212232960).

131079168 is an abundant number, since it is smaller than the sum of its proper divisors (293386752).

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

131079168 is a wasteful number, since it uses less digits than its factorization.

131079168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 131079168 is about 11448.9810900359. The cubic root of 131079168 is about 507.9775963005.

The spelling of 131079168 in words is "one hundred thirty-one million, seventy-nine thousand, one hundred sixty-eight".