131980896 has 72 divisors (see below), whose sum is σ = 376491024. Its totient is φ = 43856640.

The previous prime is 131980879. The next prime is 131980903. The reversal of 131980896 is 698089131.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139786 + ... + 140726.

It is an arithmetic number, because the mean of its divisors is an integer number (5229042).

Almost surely, 2^131980896 is an apocalyptic number.

131980896 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 131980896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188245512).

131980896 is an abundant number, since it is smaller than the sum of its proper divisors (244510128).

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

131980896 is a wasteful number, since it uses less digits than its factorization.

131980896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 131980896 is about 11488.2938681077. The cubic root of 131980896 is about 509.1397724589.

It can be divided in two parts, 1319 and 80896, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 131980896 in words is "one hundred thirty-one million, nine hundred eighty thousand, eight hundred ninety-six".