131264320 has 112 divisors (see below), whose sum is σ = 345643200. Its totient is φ = 47083520.

The previous prime is 131264299. The next prime is 131264363. The reversal of 131264320 is 23462131.

131264320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131264291 and 131264300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313071 + ... + 313489.

It is an arithmetic number, because the mean of its divisors is an integer number (3086100).

Almost surely, 2^131264320 is an apocalyptic number.

131264320 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 131264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172821600).

131264320 is an abundant number, since it is smaller than the sum of its proper divisors (214378880).

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

131264320 is a wasteful number, since it uses less digits than its factorization.

131264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 131264320 is about 11457.0641963812. The cubic root of 131264320 is about 508.2166600157.

The spelling of 131264320 in words is "one hundred thirty-one million, two hundred sixty-four thousand, three hundred twenty".