131065648 has 80 divisors (see below), whose sum is σ = 323550720. Its totient is φ = 50070528.

The previous prime is 131065621. The next prime is 131065673. The reversal of 131065648 is 846560131.

It is a happy number.

It is a super-3 number, since 3×131065648³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34365 + ... + 37987.

It is an arithmetic number, because the mean of its divisors is an integer number (4044384).

Almost surely, 2^131065648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131065648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161775360).

131065648 is an abundant number, since it is smaller than the sum of its proper divisors (192485072).

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

131065648 is a wasteful number, since it uses less digits than its factorization.

131065648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 131065648 is about 11448.3906292544. The cubic root of 131065648 is about 507.9601307913.

The spelling of 131065648 in words is "one hundred thirty-one million, sixty-five thousand, six hundred forty-eight".