131064576 has 72 divisors (see below), whose sum is σ = 356342784. Its totient is φ = 42746880.

The previous prime is 131064533. The next prime is 131064581. The reversal of 131064576 is 675460131.

It is a super-3 number, since 3×131064576³ (a number of 25 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34281 + ... + 37911.

Almost surely, 2^131064576 is an apocalyptic number.

131064576 is a gapful number since it is divisible by the number (16) 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 131064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178171392).

131064576 is an abundant number, since it is smaller than the sum of its proper divisors (225278208).

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

131064576 is an equidigital number, since it uses as much as digits as its factorization.

131064576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 131064576 is about 11448.3438103509. The cubic root of 131064576 is about 507.9587459007.

The spelling of 131064576 in words is "one hundred thirty-one million, sixty-four thousand, five hundred seventy-six".