131189760 has 352 divisors, whose sum is σ = 508966080. Its totient is φ = 31850496.

The previous prime is 131189759. The next prime is 131189767. The reversal of 131189760 is 67981131.

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

It is not an unprimeable number, because it can be changed into a prime (131189767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797084 + ... + 1797156.

Almost surely, 2^131189760 is an apocalyptic number.

131189760 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 131189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254483040).

131189760 is an abundant number, since it is smaller than the sum of its proper divisors (377776320).

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

131189760 is a wasteful number, since it uses less digits than its factorization.

131189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 131189760 is about 11453.8098465096. The cubic root of 131189760 is about 508.1204170281.

The spelling of 131189760 in words is "one hundred thirty-one million, one hundred eighty-nine thousand, seven hundred sixty".