131203968 has 192 divisors, whose sum is σ = 427910400. Its totient is φ = 35417088.

The previous prime is 131203939. The next prime is 131203981. The reversal of 131203968 is 869302131.

It is a tau number, because it is divible by the number of its divisors (192).

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, 357321 + ... + 357687.

It is an arithmetic number, because the mean of its divisors is an integer number (2228700).

Almost surely, 2^131203968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213955200).

131203968 is an abundant number, since it is smaller than the sum of its proper divisors (296706432).

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

131203968 is a wasteful number, since it uses less digits than its factorization.

131203968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 131203968 is about 11454.4300600248. The cubic root of 131203968 is about 508.1387597054.

The spelling of 131203968 in words is "one hundred thirty-one million, two hundred three thousand, nine hundred sixty-eight".