131588160 has 224 divisors, whose sum is σ = 483242112. Its totient is φ = 29982720.

The previous prime is 131588141. The next prime is 131588183. The reversal of 131588160 is 61885131.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179154 + ... + 179886.

Almost surely, 2^131588160 is an apocalyptic number.

131588160 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 131588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241621056).

131588160 is an abundant number, since it is smaller than the sum of its proper divisors (351653952).

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

131588160 is a wasteful number, since it uses less digits than its factorization.

131588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 131588160 is about 11471.1882557998. The cubic root of 131588160 is about 508.6342543868.

The spelling of 131588160 in words is "one hundred thirty-one million, five hundred eighty-eight thousand, one hundred sixty".