131779680 has 96 divisors (see below), whose sum is σ = 416967264. Its totient is φ = 34983936.

The previous prime is 131779679. The next prime is 131779691. The reversal of 131779680 is 86977131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×131779680³ (a number of 25 digits) contains 333 as substring.

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, 140172 + ... + 141108.

It is an arithmetic number, because the mean of its divisors is an integer number (4343409).

Almost surely, 2^131779680 is an apocalyptic number.

131779680 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 131779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208483632).

131779680 is an abundant number, since it is smaller than the sum of its proper divisors (285187584).

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

131779680 is a wasteful number, since it uses less digits than its factorization.

131779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 131779680 is about 11479.5330915504. The cubic root of 131779680 is about 508.8808986906.

It can be divided in two parts, 1317796 and 80, that added together give a triangular number (1317876 = T₁₆₂₃).

The spelling of 131779680 in words is "one hundred thirty-one million, seven hundred seventy-nine thousand, six hundred eighty".