131723200 has 168 divisors, whose sum is σ = 390550400. Its totient is φ = 42716160.

The previous prime is 131723173. The next prime is 131723209. The reversal of 131723200 is 2327131.

It is a super-3 number, since 3×131723200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131723209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 212491 + ... + 213109.

Almost surely, 2^131723200 is an apocalyptic number.

131723200 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 131723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195275200).

131723200 is an abundant number, since it is smaller than the sum of its proper divisors (258827200).

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

131723200 is a wasteful number, since it uses less digits than its factorization.

131723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 131723200 is about 11477.0727975386. The cubic root of 131723200 is about 508.8081871762.

The spelling of 131723200 in words is "one hundred thirty-one million, seven hundred twenty-three thousand, two hundred".