131285592 has 72 divisors (see below), whose sum is σ = 375338340. Its totient is φ = 41450400.

The previous prime is 131285563. The next prime is 131285641. The reversal of 131285592 is 295582131.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23467 + ... + 28517.

Almost surely, 2^131285592 is an apocalyptic number.

131285592 is a gapful number since it is divisible by the number (12) 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 131285592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187669170).

131285592 is an abundant number, since it is smaller than the sum of its proper divisors (244052748).

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

131285592 is a wasteful number, since it uses less digits than its factorization.

131285592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5075 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 131285592 is about 11457.9924943246. The cubic root of 131285592 is about 508.2441114990.

The spelling of 131285592 in words is "one hundred thirty-one million, two hundred eighty-five thousand, five hundred ninety-two".