131967360 has 256 divisors, whose sum is σ = 534643200. Its totient is φ = 30136320.

The previous prime is 131967349. The next prime is 131967469. The reversal of 131967360 is 63769131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120415 + ... + 121505.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^131967360 is an apocalyptic number.

131967360 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 131967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

131967360 is an abundant number, since it is smaller than the sum of its proper divisors (402675840).

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

131967360 is a wasteful number, since it uses less digits than its factorization.

131967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 131967360 is about 11487.7047315815. The cubic root of 131967360 is about 509.1223660216.

The spelling of 131967360 in words is "one hundred thirty-one million, nine hundred sixty-seven thousand, three hundred sixty".