131289984 has 256 divisors, whose sum is σ = 455001600. Its totient is φ = 36951552.

The previous prime is 131289971. The next prime is 131290007. The reversal of 131289984 is 489982131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959519 + ... + 1959585.

It is an arithmetic number, because the mean of its divisors is an integer number (1777350).

Almost surely, 2^131289984 is an apocalyptic number.

131289984 is a gapful number since it is divisible by the number (14) 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 131289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227500800).

131289984 is an abundant number, since it is smaller than the sum of its proper divisors (323711616).

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

131289984 is an frugal number, since it uses more digits than its factorization.

131289984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 79 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 131289984 is about 11458.1841493319. The cubic root of 131289984 is about 508.2497789989.

The spelling of 131289984 in words is "one hundred thirty-one million, two hundred eighty-nine thousand, nine hundred eighty-four".