131724200 has 48 divisors (see below), whose sum is σ = 309338460. Its totient is φ = 52160000.

The previous prime is 131724163. The next prime is 131724251. The reversal of 131724200 is 2427131.

131724200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 113763556 + 17960644 = 10666^2 + 4238^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 16940 + ... + 23460.

Almost surely, 2^131724200 is an apocalyptic number.

131724200 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 131724200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154669230).

131724200 is an abundant number, since it is smaller than the sum of its proper divisors (177614260).

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

131724200 is a wasteful number, since it uses less digits than its factorization.

131724200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 131724200 is about 11477.1163625712. The cubic root of 131724200 is about 508.8094747421.

The spelling of 131724200 in words is "one hundred thirty-one million, seven hundred twenty-four thousand, two hundred".