131725830 has 96 divisors (see below), whose sum is σ = 343160064. Its totient is φ = 32298112.

The previous prime is 131725817. The next prime is 131725831. The reversal of 131725830 is 38527131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131725831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580177 + ... + 580403.

It is an arithmetic number, because the mean of its divisors is an integer number (3574584).

Almost surely, 2^131725830 is an apocalyptic number.

131725830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131725830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171580032).

131725830 is an abundant number, since it is smaller than the sum of its proper divisors (211434234).

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

131725830 is a wasteful number, since it uses less digits than its factorization.

131725830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 131725830 is about 11477.1873732200. The cubic root of 131725830 is about 508.8115734606.

The spelling of 131725830 in words is "one hundred thirty-one million, seven hundred twenty-five thousand, eight hundred thirty".