131527200 has 144 divisors (see below), whose sum is σ = 489343680. Its totient is φ = 30059520.

The previous prime is 131527199. The next prime is 131527211. The reversal of 131527200 is 2725131.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 12886 + ... + 20714.

It is an arithmetic number, because the mean of its divisors is an integer number (3398220).

Almost surely, 2^131527200 is an apocalyptic number.

131527200 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 131527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244671840).

131527200 is an abundant number, since it is smaller than the sum of its proper divisors (357816480).

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

131527200 is a wasteful number, since it uses less digits than its factorization.

131527200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7859 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 131527200 is about 11468.5308562169. The cubic root of 131527200 is about 508.5556983490. Note that the first 3 decimals are identical.

The spelling of 131527200 in words is "one hundred thirty-one million, five hundred twenty-seven thousand, two hundred".