131194080 has 240 divisors, whose sum is σ = 474211584. Its totient is φ = 34145280.

The previous prime is 131194079. The next prime is 131194097. The reversal of 131194080 is 80491131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686785 + ... + 686975.

Almost surely, 2^131194080 is an apocalyptic number.

131194080 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 131194080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237105792).

131194080 is an abundant number, since it is smaller than the sum of its proper divisors (343017504).

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

131194080 is a wasteful number, since it uses less digits than its factorization.

131194080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 131194080 is about 11453.9984284965. The cubic root of 131194080 is about 508.1259943336.

The spelling of 131194080 in words is "one hundred thirty-one million, one hundred ninety-four thousand, eighty".