131764480 has 72 divisors (see below), whose sum is σ = 317588544. Its totient is φ = 52377600.

The previous prime is 131764469. The next prime is 131764481. The reversal of 131764480 is 84467131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131764481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397915 + ... + 398245.

It is an arithmetic number, because the mean of its divisors is an integer number (4410952).

Almost surely, 2^131764480 is an apocalyptic number.

131764480 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 131764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158794272).

131764480 is an abundant number, since it is smaller than the sum of its proper divisors (185824064).

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

131764480 is an equidigital number, since it uses as much as digits as its factorization.

131764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 131764480 is about 11478.8710246261. The cubic root of 131764480 is about 508.8613324796.

The spelling of 131764480 in words is "one hundred thirty-one million, seven hundred sixty-four thousand, four hundred eighty".