131006160 has 240 divisors, whose sum is σ = 477719424. Its totient is φ = 33302016.

The previous prime is 131006143. The next prime is 131006209. The reversal of 131006160 is 61600131.

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

It is a super-2 number, since 2×131006160² = 34325227915891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446974 + ... + 447266.

Almost surely, 2^131006160 is an apocalyptic number.

131006160 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 131006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238859712).

131006160 is an abundant number, since it is smaller than the sum of its proper divisors (346713264).

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

131006160 is a wasteful number, since it uses less digits than its factorization.

131006160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131006160 is about 11445.7922399456. The cubic root of 131006160 is about 507.8832682786.

Adding to 131006160 its reverse (61600131), we get a palindrome (192606291).

The spelling of 131006160 in words is "one hundred thirty-one million, six thousand, one hundred sixty".