131193720 has 192 divisors, whose sum is σ = 494208000. Its totient is φ = 29562624.

The previous prime is 131193691. The next prime is 131193781. The reversal of 131193720 is 27391131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198751 + ... + 199409.

It is an arithmetic number, because the mean of its divisors is an integer number (2574000).

Almost surely, 2^131193720 is an apocalyptic number.

131193720 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 131193720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247104000).

131193720 is an abundant number, since it is smaller than the sum of its proper divisors (363014280).

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

131193720 is a wasteful number, since it uses less digits than its factorization.

131193720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 131193720 is about 11453.9827134495. The cubic root of 131193720 is about 508.1255295629.

The spelling of 131193720 in words is "one hundred thirty-one million, one hundred ninety-three thousand, seven hundred twenty".