131730192 has 160 divisors (see below), whose sum is σ = 434496000. Its totient is φ = 37791360.

The previous prime is 131730139. The next prime is 131730197. The reversal of 131730192 is 291037131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131730197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89559 + ... + 91017.

It is an arithmetic number, because the mean of its divisors is an integer number (2715600).

Almost surely, 2^131730192 is an apocalyptic number.

131730192 is a gapful number since it is divisible by the number (12) 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 131730192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217248000).

131730192 is an abundant number, since it is smaller than the sum of its proper divisors (302765808).

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

131730192 is a wasteful number, since it uses less digits than its factorization.

131730192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1494 counting only the distinct ones).

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

The square root of 131730192 is about 11477.3774007828. The cubic root of 131730192 is about 508.8171897005.

The spelling of 131730192 in words is "one hundred thirty-one million, seven hundred thirty thousand, one hundred ninety-two".