131350968 has 144 divisors (see below), whose sum is σ = 427527360. Its totient is φ = 36288000.

The previous prime is 131350963. The next prime is 131350979. The reversal of 131350968 is 869053131.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131350963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108768 + ... + 109968.

It is an arithmetic number, because the mean of its divisors is an integer number (2968940).

Almost surely, 2^131350968 is an apocalyptic number.

131350968 is a gapful number since it is divisible by the number (18) 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 131350968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213763680).

131350968 is an abundant number, since it is smaller than the sum of its proper divisors (296176392).

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

131350968 is a wasteful number, since it uses less digits than its factorization.

131350968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 131350968 is about 11460.8449950255. The cubic root of 131350968 is about 508.3284605702.

The spelling of 131350968 in words is "one hundred thirty-one million, three hundred fifty thousand, nine hundred sixty-eight".