131963440 has 80 divisors (see below), whose sum is σ = 355691520. Its totient is φ = 44593920.

The previous prime is 131963437. The next prime is 131963449. The reversal of 131963440 is 44369131.

131963440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (131963449) 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, 38101 + ... + 41419.

It is an arithmetic number, because the mean of its divisors is an integer number (4446144).

Almost surely, 2^131963440 is an apocalyptic number.

131963440 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 131963440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177845760).

131963440 is an abundant number, since it is smaller than the sum of its proper divisors (223728080).

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

131963440 is a wasteful number, since it uses less digits than its factorization.

131963440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 131963440 is about 11487.5341131158. The cubic root of 131963440 is about 509.1173249280.

The spelling of 131963440 in words is "one hundred thirty-one million, nine hundred sixty-three thousand, four hundred forty".