131968440 has 96 divisors (see below), whose sum is σ = 444815280. Its totient is φ = 35188992.

The previous prime is 131968409. The next prime is 131968469. The reversal of 131968440 is 44869131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131968395 and 131968404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932 + ... + 16508.

Almost surely, 2^131968440 is an apocalyptic number.

131968440 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 131968440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222407640).

131968440 is an abundant number, since it is smaller than the sum of its proper divisors (312846840).

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

131968440 is a wasteful number, since it uses less digits than its factorization.

131968440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13603 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 131968440 is about 11487.7517382645. The cubic root of 131968440 is about 509.1237548768.

The spelling of 131968440 in words is "one hundred thirty-one million, nine hundred sixty-eight thousand, four hundred forty".