131793728 has 112 divisors (see below), whose sum is σ = 307238400. Its totient is φ = 55457280.

The previous prime is 131793677. The next prime is 131793763. The reversal of 131793728 is 827397131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789101 + ... + 789267.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200).

Almost surely, 2^131793728 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 131793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

131793728 is an abundant number, since it is smaller than the sum of its proper divisors (175444672).

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

131793728 is a wasteful number, since it uses less digits than its factorization.

131793728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its digits is 63504, while the sum is 41.

The square root of 131793728 is about 11480.1449468201. The cubic root of 131793728 is about 508.8989806510.

The spelling of 131793728 in words is "one hundred thirty-one million, seven hundred ninety-three thousand, seven hundred twenty-eight".