131946960 has 80 divisors (see below), whose sum is σ = 410223744. Its totient is φ = 35083776.

The previous prime is 131946953. The next prime is 131946967. The reversal of 131946960 is 69649131.

It is an interprime number because it is at equal distance from previous prime (131946953) and next prime (131946967).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131946967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120174 + ... + 121266.

Almost surely, 2^131946960 is an apocalyptic number.

131946960 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 131946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205111872).

131946960 is an abundant number, since it is smaller than the sum of its proper divisors (278276784).

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

131946960 is a wasteful number, since it uses less digits than its factorization.

131946960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 131946960 is about 11486.8167914353. The cubic root of 131946960 is about 509.0961306669.

The spelling of 131946960 in words is "one hundred thirty-one million, nine hundred forty-six thousand, nine hundred sixty".