131726430 has 192 divisors, whose sum is σ = 404352000. Its totient is φ = 29410560.

The previous prime is 131726423. The next prime is 131726431. The reversal of 131726430 is 34627131.

131726430 is a `hidden beast` number, since 1 + 3 + 17 + 2 + 643 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131726394 and 131726403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131726431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 883996 + ... + 884144.

It is an arithmetic number, because the mean of its divisors is an integer number (2106000).

Almost surely, 2^131726430 is an apocalyptic number.

131726430 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 131726430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202176000).

131726430 is an abundant number, since it is smaller than the sum of its proper divisors (272625570).

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

131726430 is a wasteful number, since it uses less digits than its factorization.

131726430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 131726430 is about 11477.2135119985. The cubic root of 131726430 is about 508.8123459906.

The spelling of 131726430 in words is "one hundred thirty-one million, seven hundred twenty-six thousand, four hundred thirty".