131927200 has 72 divisors (see below), whose sum is σ = 330846012. Its totient is φ = 51333120.

The previous prime is 131927197. The next prime is 131927209. The reversal of 131927200 is 2729131.

It can be written as a sum of positive squares in 6 ways, for example, as 90402064 + 41525136 = 9508^2 + 6444^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (131927209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27372 + ... + 31828.

Almost surely, 2^131927200 is an apocalyptic number.

131927200 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 131927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165423006).

131927200 is an abundant number, since it is smaller than the sum of its proper divisors (198918812).

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

131927200 is a wasteful number, since it uses less digits than its factorization.

131927200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 131927200 is about 11485.9566427877. The cubic root of 131927200 is about 509.0707158039.

The spelling of 131927200 in words is "one hundred thirty-one million, nine hundred twenty-seven thousand, two hundred".