131606160 has 360 divisors, whose sum is σ = 517038336. Its totient is φ = 27578880.

The previous prime is 131606149. The next prime is 131606183. The reversal of 131606160 is 61606131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131606160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4245345 + ... + 4245375.

Almost surely, 2^131606160 is an apocalyptic number.

131606160 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 131606160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258519168).

131606160 is an abundant number, since it is smaller than the sum of its proper divisors (385432176).

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

131606160 is a wasteful number, since it uses less digits than its factorization.

131606160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 131606160 is about 11471.9728033150. The cubic root of 131606160 is about 508.6574454276.

The spelling of 131606160 in words is "one hundred thirty-one million, six hundred six thousand, one hundred sixty".