131035968 has 280 divisors, whose sum is σ = 466173312. Its totient is φ = 35582976.

The previous prime is 131035963. The next prime is 131036021. The reversal of 131035968 is 869530131.

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 (131035963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 834546 + ... + 834702.

Almost surely, 2^131035968 is an apocalyptic number.

131035968 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 131035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233086656).

131035968 is an abundant number, since it is smaller than the sum of its proper divisors (335137344).

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

131035968 is a wasteful number, since it uses less digits than its factorization.

131035968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

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

The square root of 131035968 is about 11447.0943037961. The cubic root of 131035968 is about 507.9217851351.

The spelling of 131035968 in words is "one hundred thirty-one million, thirty-five thousand, nine hundred sixty-eight".