131168160 has 240 divisors, whose sum is σ = 480249000. Its totient is φ = 33675264.

The previous prime is 131168129. The next prime is 131168201. The reversal of 131168160 is 61861131.

It can be written as a sum of positive squares in 4 ways, for example, as 117418896 + 13749264 = 10836^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375666 + ... + 376014.

Almost surely, 2^131168160 is an apocalyptic number.

131168160 is a gapful number since it is divisible by the number (10) 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 131168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240124500).

131168160 is an abundant number, since it is smaller than the sum of its proper divisors (349080840).

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

131168160 is a wasteful number, since it uses less digits than its factorization.

131168160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 131168160 is about 11452.8668899975. The cubic root of 131168160 is about 508.0925286639.

It can be divided in two parts, 131168 and 160, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 131168160 in words is "one hundred thirty-one million, one hundred sixty-eight thousand, one hundred sixty".