131982480 has 480 divisors, whose sum is σ = 559785600. Its totient is φ = 28449792.

The previous prime is 131982463. The next prime is 131982481. The reversal of 131982480 is 84289131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131982481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3069339 + ... + 3069381.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 2^131982480 is an apocalyptic number.

131982480 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 131982480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279892800).

131982480 is an abundant number, since it is smaller than the sum of its proper divisors (427803120).

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

131982480 is a wasteful number, since it uses less digits than its factorization.

131982480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 131982480 is about 11488.3628076415. The cubic root of 131982480 is about 509.1418093046.

The spelling of 131982480 in words is "one hundred thirty-one million, nine hundred eighty-two thousand, four hundred eighty".