131978200 has 48 divisors (see below), whose sum is σ = 310058280. Its totient is φ = 52239360.

The previous prime is 131978183. The next prime is 131978207. The reversal of 131978200 is 2879131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131978207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15999 + ... + 22801.

Almost surely, 2^131978200 is an apocalyptic number.

131978200 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 131978200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155029140).

131978200 is an abundant number, since it is smaller than the sum of its proper divisors (178080080).

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

131978200 is a wasteful number, since it uses less digits than its factorization.

131978200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 131978200 is about 11488.1765306771. The cubic root of 131978200 is about 509.1363056689.

The spelling of 131978200 in words is "one hundred thirty-one million, nine hundred seventy-eight thousand, two hundred".