131573200 has 120 divisors (see below), whose sum is σ = 365333760. Its totient is φ = 45004800.

The previous prime is 131573173. The next prime is 131573237. The reversal of 131573200 is 2375131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73921 + ... + 75679.

It is an arithmetic number, because the mean of its divisors is an integer number (3044448).

Almost surely, 2^131573200 is an apocalyptic number.

131573200 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 131573200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182666880).

131573200 is an abundant number, since it is smaller than the sum of its proper divisors (233760560).

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

131573200 is a wasteful number, since it uses less digits than its factorization.

131573200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 131573200 is about 11470.5361688109. The cubic root of 131573200 is about 508.6149784458.

The spelling of 131573200 in words is "one hundred thirty-one million, five hundred seventy-three thousand, two hundred".