131968940 has 48 divisors (see below), whose sum is σ = 294694848. Its totient is φ = 49530624.

The previous prime is 131968931. The next prime is 131968951. The reversal of 131968940 is 49869131.

It is a super-2 number, since 2×131968940² = 34831602249447200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21674 + ... + 27086.

It is an arithmetic number, because the mean of its divisors is an integer number (6139476).

Almost surely, 2^131968940 is an apocalyptic number.

131968940 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 131968940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147347424).

131968940 is an abundant number, since it is smaller than the sum of its proper divisors (162725908).

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

131968940 is a wasteful number, since it uses less digits than its factorization.

131968940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 131968940 is about 11487.7735005527. The cubic root of 131968940 is about 509.1243978627.

The spelling of 131968940 in words is "one hundred thirty-one million, nine hundred sixty-eight thousand, nine hundred forty".